10th Maths Chapter 6 Trigonometry Exercise 6.2

Solution:

2. A road is flanked on either side by continuous rows of houses of height 4√3 m with no space in between them. A pedestrian is standing on the median of the road facing a row house. The angle of elevation from the pedestrian to the top of the house is 30°. Find the width of the road.

Solution:

3. To a man standing outside his house, the angles of elevation of the top and bottom of a window are 60° and 45° respectively. If the height of the man is 180 cm and if he is 5 m away from the wall, what is the height of the window? (√3 = 1.732)

Solution:

4. A statue 1.6 m tall stands on the top of a 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 40°. Find the height of the pedestal. (tan 40° = 0.8391, √3 = 1.732)

Solution:

Let ‘p’ be the fit of the pedestal and d be the distance of the statue from point of cabs, on the ground.
Given the elevation of the top of the statue from p f on the ground is 60°.

5. A flag pole ‘h’ meters is on the top of the hemispherical dome of radius V meters. A man is standing 7 m away from the dome. Seeing the top of the pole at an angle of 45° and moving 5 m away from the dome and seeing the bottom of the pole at an angle 30°. Find

• (i) the height of the pole
• (ii) radius of the dome.

Solution:

6. The top of a 15 m high tower makes an angle of elevation of 60° with the bottom of an electronic pole and angle of elevation of 30° with the top of the pole. What is the height of the electric pole?

Solution:

Let BD be tower of height = 15 m
AE be pole of height = ‘p’