Q2 of 68 Page 9

A vertical pole is high and the length of its shadow is 21m. Find the angle of elevation of the source of light.


We will first draw the schematic diagram to get a better understanding.


In the given diagram the angle of elevation is .


Actually, the angle of elevation in the question asked is of the sun with respect to the end of the shadow.


Note that if the elevation was asked of any other point like from the bottom edge of the pole, the answer would have been different.


We know that,


applying this trigonometric ratio in the problem,






= 30˚


More from this chapter

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1

In ΔABC, ∠ A = 90°, AB = 12 cm and cm, then find ∠B.

 3

A ladder of length 30 m is placed against a wall such that it just reaches the top of the 15 m high wall. At what angle is the ladder inclined to the ground?

 4

When the ratio of the height of a telephone pole and the length of its shadow is , find the angle of elevation of the sun.

 5

In the figure, ABC is a right triangle in which AB = 8 m, ∠BCA = 30°, then find

(i) the angle of elevation of A at C.


(ii) the angle of depression of C at A.


(iii) BC and AC