Question Bank - Some Applicati...
What is the angle of elevation when a person looks at the top of a tree from a point 30 m away at an angle of 45°?
If the height of a building is 24 m and the angle of elevation from a point on the ground 10 m away from its base is 60°, what would be the height of the observer's eyes if the height of the building is added?
A person standing on the ground observes a balloon at an angle of elevation of 30°. If the balloon rises to a height where the angle of elevation is now 60°, how will this affect the height calculated?
From a point 50 m away from the base of a tower, the angle of elevation to the top of the tower is 45°. What is the height of the tower?
If a student is 1.5 m tall and stands 20 m away from a tree, forming an angle of elevation of 60°, how tall is the tree?
When a girl looks down at a flower pot from an angle of depression of 30° from a height of 10 m, what is the horizontal distance to the pot?
What happens to the perceived height of an object when the observer moves further away?
If a collector views an object from 45 m away at an angle of elevation of 30°, how do you calculate the height of the object?
A hill is observed from the ground at a distance of 100 m with an angle of elevation of 45°. What is the vertical height of the hill?
Which of the following best describes the angle of depression?
For a man 1.75 m tall looking up at a lamppost with an angle of elevation of 60° standing 25 m away, how can you find the height of the lamppost?
What effect does increasing the distance from the object have on the angle of elevation if the height remains unchanged?
If a tower is 40 m high and an observer sees it from 30 m away with an angle of elevation of 60°, what is the relationship between the height of the tower and the observed height?
A kite flying at an angle of elevation of 45° from a point 20 m away from the base of a tree makes which geometry in sighting?
From a point 10 m away from the base of a tower, the angle of elevation to the top of the tower is 60°. What is the height of the tower?
An observer 1.2 m tall is standing 25 m away from a building. If the angle of elevation to the top of the building from the observer's eyes is 30°, what is the height of the building?
A tree casts a shadow of 15 m when the angle of elevation of the sun is 45°. What is the height of the tree?
Find the height of a flagpole if a person standing 20 m away observes it with an angle of elevation of 60°.
A lighthouse is 50 m tall. If a boat is 100 m away from the base of the lighthouse, what is the angle of elevation to the top of the lighthouse?
An observer is standing at the ground level and looks at the top of a tree with an angle of elevation of 30°. If the tree is 10 m tall, how far is the observer from the base of the tree?
A flagstaff on a hill has a height of 12 m. From a point on the same level as the base of the hill, the angle of elevation to its top is 45°. What is the distance from this point to the base of the hill?
A tower stands vertically on the ground. If a person is standing 10 m away from the base of the tower and the angle of elevation to the top of the tower is 30°, what is the height of the tower?
The angle of elevation of the sun when the length of the shadow of a 20 m tall tree is 10 m is what?
From a point 50 m away from a building, the angle of elevation to the top of the building is 60°. What is the height of the building?
If the angle of elevation from the foot of a hill to a tower is 60° and the height of the tower is 30 m, find the distance to the foot of the hill.
An observer 1.8 m tall is standing 30 m away from a tree. If the angle of elevation to the top of the tree is 45°, what is the height of the tree?
A person standing 50 m away from a monument sees it at an angle of elevation of 55°. Find the height of the monument.
If a ladder makes an angle of elevation of 60° with the ground and reaches a point 4 m up on the wall, how long is the ladder?
What is the height of a tower whose angle of elevation at a point 30 m away is 45°?
The height of a building is 12 m. From the top of the building, the angle of depression to a point on the ground is 30°. What is the distance of the point from the base of the building?
A tree is observed at an angle of elevation of 30°. If the distance to the tree from the observer is 25 m, what height can be expected?
A flagstaff of height x meters is erected on a building of height 15 m. From a point 30 m away from the building, the angle of elevation to the top of the flagstaff is 60°. What is the value of x?
If the angle of elevation changes from 30° to 60°, how does the height of a building remain constant but change the observed distance?
The shadow of a pole is found to be 10 m long when the angle of elevation of the sun is 60°. How tall is the pole?
A man 1.8 m tall observes a building from a distance of 10 m, noticing it's 2 m taller than him. What is the angle of elevation from where he stands?
An observer is standing 20 m away from a vertical pole. If the angle of elevation from the observer's eyes (at a height of 1.5 m) to the top of the pole is 30°, what is the height of the pole?
The angles of elevation from the ground to the top and bottom of a 10 m tall building are 30° and 10°, respectively. Find the distance of the observer from the base of the building.
From a point 45 m away from a building, the angle of elevation to the top of the building is 60° and the angle of depression to the bottom is 30°. How tall is the building?
From the top of a multi-storeyed building, the angles of depression of two points on the ground are 30° and 45°. If the height of the building is H, what is the distance between the two points on the ground?
An observer's height is 1.75 m. If they stand 15 m from a tree and observe it at an angle of elevation of 45°, what is the height of the tree?
A tower stands vertically on the ground. From a point on the ground, which is 20 m away from the foot of the tower, the angle of elevation of the top of the tower is 30°. What is the height of the tower?
What is the angle of depression?
An observer 1.2 m tall is standing 15 m away from a lamp post. The angle of elevation of the top of the lamp post from her eyes is 60°. What is the height of the lamp post?
A person is standing on a hill and looking down at a point on the ground that is 30 m below. If the angle of depression is 45°, what is the horizontal distance from the person to the point?
From a point on the ground, the angle of elevation of a quayside crane is 45° and it is 10 m away. What is the height of the crane?
From a tower, the angle of depression to the foot of a hill is 30°. If the height of the tower is 20 m, how far is the foot of the hill from the base of the tower?
The shadow of a building is 50 m long when the angle of elevation of the sun is 30°. Find the height of the building.
If the angle of depression from a point A on a building is 60° to a point B on the ground, and the distance from A to B vertically is 10 m, what is the horizontal distance from the base of the building to point B?
From the top of a 50 m high tower, the angle of depression to a point on the ground is 30°. How far away is the point from the base of the tower?
When observing a ship at sea, if the angle of depression from the top of a lighthouse is 30° and the lighthouse is 50 m high, how far is the ship from the base of the lighthouse?
Two towers are 100 m apart. The angles of elevation to the top of each tower from the foot of the other tower are 45° and 30°, respectively. Compute the heights of the towers.
If a person looks down at an angle of depression of 40° to the foot of a tree and the tree is 10 m tall, what is the distance of the person from the base of the tree?
When the angle of elevation of the sun is 60°, the shadow of a tree is 5 m long. What is the height of the tree?
From the top of a hill, the angle of depression to a point on the ground is measured to be 55°. If the distance from the hill to the point is 200 m, what is the height of the hill?
An observer standing 10 m away from a vertical cliff measures the angle of elevation to the top of the cliff to be 45°. Determine the height of the cliff.
A lookout tower has a height of 80 m. If the angle of depression to a ship is 30°, how far is the ship from the base of the tower?
A building casts a shadow of 60 m when the angle of elevation of the sun is at 30°. Find the height of the building.
If the angle of elevation to the top of a building is 70° and the angle of depression to the base of the building is 40°, find the height of the building if the observer is 20 m away.
From a point on a bridge 5 m above the ground, the angles of depression to two points of the banks of a river are 30° and 60°. Calculate the width of the river.
A drone is flying at a height of 50 m. If the angle of depression to a car on the ground is 25°, how far is the car from the point directly below the drone?
A ladder leans against a wall forming an angle of elevation of 60° with the ground. If the ladder is 10 m long, how high does the ladder reach on the wall?
An observer sees a tower with an angle of elevation of 30° standing on a 10 m hill. If the observer is 40 m away from the foot of the hill, what is the height of the tower?
What is the angle of elevation from a point 10 m away from a tree that is 8 m tall?
If the angle of depression from the top of a tower is 30°, what is the relationship between the height of the tower and the horizontal distance to the observer at its foot?
From a point on the ground, the angle of elevation to the top of a building is 45°. If the observer is 20 meters away from the building, what is the height of the building?
If the angle of elevation to the top of a hill is 60° and the distance from the observer to the base is 30 m, what is the height of the hill?
A ladder 10 m long leans against a wall, forming an angle of 60° with the ground. How high up the wall does the ladder reach?
What is the angle of depression if the height of an object is 15 m and the distance from the observer to the base of the object is 20 m?
If a person is standing 40 m away from a building and the angle of elevation to the top is 30°, what is the height of the building?
In a right triangle, if the height is 24 m and the base is 10 m, what is the angle of elevation from the base to the top?
What will be the angle of elevation if a person measures the height of a pole to be 25 m standing 30 m away from its base?
A drone is flying at an angle of 45° above the ground and is 20 m away horizontally from the observer. How high is the drone?
If the angle of depression to the bottom of a well from a point 25 m above the ground is 53°, what is the depth of the well?
A person standing on the ground sees the top of a building at an angle of elevation of 30°. If the building is 10 m tall, how far is the person from the base?
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