MEDIUM
10th Telangana Board
IMPORTANT
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An electrician wants to repair an electric connection on a pole of height 9m. He needs to reach 1.8m below the top of the pole to do repair work. What should be the length of the ladder which he should use, when he climbs it at an angle of 60°with the ground? What will be the distance between foot of the ladder and foot of the pole in m?

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Important Questions on Applications of Trigonometry

MEDIUM
10th Telangana Board
IMPORTANT

A boat has to cross the river. It crosses the river by making an angle of 60° with the bank of river due to the stream of the river and travels a distance of 600 m to reach the another side of the river. If the width of the river is k m, then find the value of k.

Write your answer up to three decimal places.

MEDIUM
10th Telangana Board
IMPORTANT
An observer of height 1.8 m is 13.2 m away from a palm tree. The angle of elevation of the top of the tree from his eyes is 45°. What is the height of the palm tree?
MEDIUM
10th Telangana Board
IMPORTANT

In the below figure, AC=6 cm, AB=5 cm and BAC= 30°. If the area of the triangle is k cm2, then find the value of k.

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HARD
10th Telangana Board
IMPORTANT
A TV tower stands vertically on the side of a road. From a point on the other side directly opposite to the tower, the angle of elevation of the top of tower is 60 . From another point 10m away from this point, on the line joining this point to the foot of the tower, the angle of elevation of the top of the tower is 30°. Find the height of the tower and the width of the road.
HARD
10th Telangana Board
IMPORTANT

A 1.5m tall boy is looking at the top of a temple which is 30 meter in height from a point at certain distance. The angle of elevation from his eye to the top of the crown of the temple increases from 30° to 60°as he walks towards the temple. If the distance he walked towards the temple is k m, then find the value of k.

Write your answer upto three decimal places.

MEDIUM
10th Telangana Board
IMPORTANT

A statue stands on the top of a 2m tall pedestal. From a point on the ground, the angle of elevation of the top of the statue is 60° and from the same point, the angle of elevation of the top of the pedestal is 45°. If the height of the statue is k m then find the value of k.

Write your answer up to three decimal places.

MEDIUM
10th Telangana Board
IMPORTANT

From the top of a building, the angle of elevation of the top of a cell tower is 60°and the angle of depression to its foot is 45°. If distance of the building from the tower is 7m, then If the height of the tower is k m, then find the value of k.

Write your answer up to three decimal places.

MEDIUM
10th Telangana Board
IMPORTANT

A wire of length 18 m had been tied with electric pole at an angle of elevation 30° with the ground. Because it was covering a long distance, it was cut and tied at an angle of elevation 60°with the ground. How much length of the wire was cut in meters?

Use 3=1.732 and write your answer upto three decimal places.