# NCERT Mathematics Class 10 Exemplar Ch 8 Introduction to Trigonometry and Its Applications Part 2

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**EXERCISE 8.2**

1.

Answer: True

2. The value of the expression is positive.

Answer: False

3. The value of the expression negative.

Answer: False

4.

Answer: True

5. If then

Answer: True

6.

Answer: False

7. If the length of the shadow of a tower is increasing, then the angle of elevation of the sun is also increasing.

Answer: False

8. If a man standing on a platform 3 metres above the surface of a lake observes a cloud and its reflection in the lake, then the angle of elevation of the cloud is equal to the angle of depression of its reflection.

Answer: False

9. The value of can be , where a is a positive number, and .

Answer: False

10. , where a and b are two distinct numbers such that .

Answer: False

11. The angle of elevation of the top of a tower is 30°. If the height of the tower is doubled, then the angle of elevation of its top will also be doubled.

Answer: False

12. If the height of a tower and the distance of the point of observation from its foot, both, are increased by 10%, then the angle of elevation of its top remains unchanged.

Answer: True