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10th Manipur Board
IMPORTANT
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The angle of elevation of a bird from the eye of the man on the bank of a pond is 30° and the angle of depression of its reflection in the pond is 60°. Find the height of the bird above the pond in meters, if the distance of the eyes from the foot of the man is 1.5 m.

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Important Questions on Trigonometry

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10th Manipur Board
IMPORTANT
Mathematics for Class 10>Chapter 10 - Trigonometry>EXERCISE 10.4>Q 16
A bridge over a river makes an angle of 45° with the river bank. If the length of the bridge over is 150m. The width of the river in metres is k2. Find the value of k.
EASY
10th Manipur Board
IMPORTANT
Mathematics for Class 10>Chapter 10 - Trigonometry>EXERCISE 10.4>Q 17
From a point on the ground 40 m away from the foot of a tower, the angle of elevation of the top of the tower is 30° and the angle of elevation of the top of a water tank is 45°. Find the height of the tower.
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10th Manipur Board
IMPORTANT
Mathematics for Class 10>Chapter 10 - Trigonometry>EXERCISE 10.4>Q 17
From a point on the ground 40 m away from the foot of a tower, the angle of elevation of the top of the tower is 30° and the angle of elevation of the top of a water tank is 45°. Find the depth of the tank.
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10th Manipur Board
IMPORTANT
Mathematics for Class 10>Chapter 10 - Trigonometry>EXERCISE 10.4>Q 18
A straight highway leads to the foot of a tower of height 50 m. From the top of a tower, the angle of depression of two cars standing on the highway are 30° & 60°. What is the distance between the two cars, and how far is each car from the tower?
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10th Manipur Board
IMPORTANT
Mathematics for Class 10>Chapter 10 - Trigonometry>EXERCISE 10.4>Q 19

As observed from the top of a lighthouse 100 m above the water lever, the angles of depression of the two ships are 30° & 45°. If one ship is to the north and the other to the east of the lighthouse, find the between the two ships.

(Use 3=1.732)

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10th Manipur Board
IMPORTANT
Mathematics for Class 10>Chapter 10 - Trigonometry>EXERCISE 10.4>Q 20
The angles of elevation of the top of a tower from two points at distances a & b from the base and in the same straight line with it are complementary. Prove that height of the tower is ab.
EASY
10th Manipur Board
IMPORTANT
Mathematics for Class 10>Chapter 10 - Trigonometry>EXERCISE 10.4>Q 21
A tower subtends an angle α at a point on the same level as the foot of the tower and at a second point h meters above the first, the depression of the foot of the tower is β. Show that the height of the tower is htanαcotβ=b.
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10th Manipur Board
IMPORTANT
Mathematics for Class 10>Chapter 10 - Trigonometry>EXERCISE 10.4>Q 22
A vertical tower stands on a horizontal plane and is surmounted by a vertical flagstaff of height h. At a point on the plane, the angle of elevation of the bottom of the flagstaff is α and that of the top of the flagstaff is β. Prove that the height of the tower is htanα ​ tanβ−tanα