# NCERT Mathematics Class 10 Exemplar Ch 8 Introduction to Trigonometry and Its Applications Part 3

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**EXERCISE 8.3**

1.

2.

3. If

4.

5.

.

7.

8. Find the angle of elevation of the sun when the shadow of a pole h metres high is h metres long.

Answer: 30°

9. If , then find the value of

Answer:

10. A ladder 15 metres long just reaches the top of a vertical wall. If the ladder makes an angle of 60° with the wall, find the height of the wall.

Answer:

11. Simplify

Answer: 1

12. If , then find the value of θ.

Answer: 90°

13. Show that An observer 1.5 metres tall is 20.5 metres away from a tower 22 metres high. Determine the angle of elevation of the top of the tower from the eye of the observer.

Answer:

15. Show that .