Question

5.
Suleman is drawing a picture by standing. His height is 4ft and length of his image is 4v3f, then the
angle of elevation is
IA
a) 30°
b) 60°
c) 45°
d) 90°​

Answer 1

option c is the answer 45°

Answer 2

Angle of elevation  = 30° and thus option (a) is correct.

Step-by-step explanation:

According to the given information,

Suleman is drawing a picture by standing and the height of Suleman is 2 ft.

Also, given that, the height of his image is 0.87 ft.

Then, if SR is the height of the image and PQ is the height of Suleman, RSTQ is the rectangle and PST is the height of the triangle,

we need to find the angle of elevation ∠PST. Now, PT  = PQ  - TQ.

Then, if PQ = 2 ft and TQ  = 0.87 ft, then, PT = 2 - 0.87 = 1.1 ft.

Then, if ∅ is the angle of elevation, sin ∅ = (PT - TQ) / h where h is the hypotenuse.

Then sin∅ ≈ 1/2h

Also, cos∅=TQ/h = 0.87/h = √3/2h

Then, tan∅ = sin∅/cos∅ = 1/√3

Thus, ∅ = 30°

Thus, angle of elevation  = 30° and thus option (a) is correct.

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