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Andhra Pradesh SSC Class 10 Solutions For Maths – Applications of Trigonometry (English Medium)
These Solutions are part of AP SSC Class 10 Solutions for Maths. In this article, we have provided Andhra Pradesh SSC Class 10 Solutions For Maths Chapter 12 Applications of Trigonometry
Exercise 12.1:
Question 1:
A tower stands vertically on the ground. From a point which is 15 meter away from the foot of the tower, the angle of elevation of the top of the tower is 450. What is the height of the tower”?
Solution :
Question 2:
A tree breaks due to storm and the broken part bends so that the top of the tree touches the ground by making 300 angle with the ground. The distance between the foot of the tree and the top of the tree on the ground is 6m. Find the height of the tree before falling down.
Solution :
Question 3:
A contractor wants to set up a slide for the children to play in the park. He wants to set it up at the height of 2 m and by making an angle of 300 with the ground. What should be the length of the slide?
Solution :
Question 4:
Length of the shadow of a 15 meter high pole is 5\(\sqrt{3}\) meters at 7 0’clock in the morning. Then, what is the angle of elevation of the Sun rays with the ground at the time?
Solution :
Question 5:
You want to erect a pole of height 10 m with the support of three ropes. Each rope has to make an angle 300 with the pole. What should be the length of the rope?
Solution :
Question 6:
Suppose you are shooting an arrow from the top of a building at an height of 6 m to a target on the ground at an angle of depression of 600. What is the distance between you and the object?
Solution :
Question 7:
An electrician wants to repair an electric connection on a pole of height 9 m. He needs to reach 1. 8 m 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 600 with the ground? What will be the distance between foot of the ladder and foot of the pole?
Solution :
Question 8:
A boat has to cross a river. It crosses the river by making an angle of 600 with the bank of the river due to the stream of the river and travels a distance of 600m to reach the another side of the river. What is the width of the river’?
Solution :
Question 9:
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 450. What is the height of the palm tree?
Solution :
Question 10:
In the adjacent figure, AC = 6 cm, AB = 5 cm and ∠BAC = 300. Find the area of the triangle.
Solution :
Exercise 12.2:
Question 1:
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 600 From another point 10 m 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 300 Find the height of the tower and the width of the road.
Solution :
Question 2:
A 1.5 m 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 300 to 600 as he walks towards the temple. Find the distance he walked towards the temple.
Solution :
Question 3:
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 600 and from the same point, the angle of elevation of the top of the pedestal is 450. Find the height of the statue.
Solution :
Question 4:
From the top of a building, the angle of elevation of the top of a cell tower is 600 and the angle of depression to its foot is 450. If distance of the building from the tower is 7m, then find the height of the tower.
Solution :
Question 5:
A wire of length 18 m had been tied with electric pole at an angle of elevation 300 with the ground. Because it was converting a long distance, it was cut and tied at an angle of elevation 600 with the ground. How much length of the wire was cut?
Solution :
Question 6:
The angle of elevation of the top of a building from the foot of the tower is 300 and the angle of elevation of the top of the tower from the foot of the building is 600. If the tower is 30 m high, find the height of the building.
Solution :
Question 7:
Two poles of equal heights are standing opposite to each other on either side of the road, which is 120 feet wide. From a point between them on the road, the angles of elevation of the top of the poles are 600 and 300 respectively. Find the height of the poles and the distances of the point from the poles.
Solution :
Question 8:
The angles of elevation of the top of a tower from two points at a distance of 4 m and 9 m, find the height of the tower from the base of the tower and in the same straight line with it are complementary.
Solution :
Question 9:
The angle of elevation of a jet plane from a point A on the ground is 600. After a flight of 15 seconds, the angle of elevation changes to 300. If the jet plane is flying at a constant height of 1500 \(\sqrt{3}\) meter, find the speed of the jet plane. (\(\sqrt{3}\) = 1.732)
Solution :
Question 10:
The angle of elevation of the top of a tower from the foot of the building is 300 and the angle of elevation of the top of the building from the foot of the tower is 600. What is the ratio of heights of tower and building.
Solution :
Hope given Andhra Pradesh SSC Class 10 Solutions For Maths chapter 12 Applications of Trigonometry are helpful to complete your math homework.
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