MEDIUM
10th Foundation
IMPORTANT
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The tops of two poles of height 20 m and 14 m are connected by a wire. If the wire makes an angle of 30° with horizontal , then the length of the wire is _____

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Important Questions on Some Applications of Trigonometry

EASY
10th Foundation
IMPORTANT
IMO Olympiad Work Book 10>Chapter 9 - Some Applications of Trigonometry>MATHEMATICAL REASONING>Q 8
There is a small island in the middle of a 50 m wide river and a tall tree stands on the island. P and Q are points directly opposite to each other on the two banks , and in line with the tree. If the angles of elevation of the top of the tree from P and Q are respectively 60° and 30° , find the height of the tree
EASY
10th Foundation
IMPORTANT
IMO Olympiad Work Book 10>Chapter 9 - Some Applications of Trigonometry>MATHEMATICAL REASONING>Q 9
In the given figure, ABCD is a rectangle in which segments AP and AQ are drawn as shown. Then the length of (AP+AQ) is
Question Image
EASY
10th Foundation
IMPORTANT
IMO Olympiad Work Book 10>Chapter 9 - Some Applications of Trigonometry>MATHEMATICAL REASONING>Q 10
The shadow of a tower, when the angle of elevation of the sun is 45°, is found to be 15 metres longer than when it is 60°. Find the height of the tower
EASY
10th Foundation
IMPORTANT
IMO Olympiad Work Book 10>Chapter 9 - Some Applications of Trigonometry>MATHEMATICAL REASONING>Q 11
A person observed the angle of elevation of the top of tower as 30°. He walked 10 meter towards the foot of the tower along ground level and found the angle of elevation of the top of the tower as 60°. Find the height of the tower.
HARD
10th Foundation
IMPORTANT
IMO Olympiad Work Book 10>Chapter 9 - Some Applications of Trigonometry>EVERYDAY MATHEMATICS>Q 12
The angle of elevation of cloud from a point h metres above a lake is θ. The angle of depression of its reflection in the lake is 45°. The height of cloud is _____.
EASY
10th Foundation
IMPORTANT
IMO Olympiad Work Book 10>Chapter 9 - Some Applications of Trigonometry>EVERYDAY MATHEMATICS>Q 13
The top of broken tree has its top end touching the ground at distance 15 meter from the bottom, the angle made by the broken end with the ground is 30°. Then length of broken part is
EASY
10th Foundation
IMPORTANT
IMO Olympiad Work Book 10>Chapter 9 - Some Applications of Trigonometry>EVERYDAY MATHEMATICS>Q 14
The shadow of tower, when the angle of elevation of the sun is 45°, is found to be 10 metres longer than when the angle of elevation is 60°. Find the height of the tower. [use 3=1.732]
EASY
10th Foundation
IMPORTANT
IMO Olympiad Work Book 10>Chapter 9 - Some Applications of Trigonometry>EVERYDAY MATHEMATICS>Q 15

Two persons are 'a' meters apart and the height of one is double that of the other. If from the middle point of the line joining their feet, an observer finds the angular elevation of their tops to be complementary, then the height of the shorter person in meters is,