Question

When the length of the shadow of the pole is equal to the height of the pole, then the angle of elevation of the source of light has measure ......,select a proper option (a), (b), (c) or (d) from given options so that the statement becomes correct.
(a) 45
(b) 30
(c) 60
(d) 75

Answer 1

Dear Student,

Answer: Angle of elevation 45° ( option a)

Solution:

As we know that height is taking as perpendicular in the triangle, and shadow is horizontal so taking as base.

Now take the trigonometric ratio which include both perpendicular and base

i.e.

tan θ = $\frac{perpendicular}{Base}$

Since according to question both are same. h = b

tan θ = $\frac{h}{h}$

tan θ = 1

θ = 45°

So,angle of elevation of pole = 45°

Hope it helps you.

Answer 2

From the above given question
Length of shadow = height of pole
Let the length of pole is x meter
Then length of shadow will also b equal to height of pole.
Now, by relating height and length of shadow with angle of elevation as shown in attachement we got angle 45° .