Question

Mark the correct alternative in each of the following: The ratio of the length of a rod and its shadow is 1 : √3. The angle of elevation of the sum is
(a)30°
(b)45°
(c)60°
(d)90°

Answer 1

Answer:

Among the given alternatives alternative (a) 30° is correct.

The angle of elevation of the Sun is 30°.  

Step-by-step explanation:

Given : Ratio of the length of a rod and the length of its shadow =  1 : √3

Let length of a rod , AB = 1 & length of its shadow , BC = √3

Let angle of elevation of the Sun is θ .

In right angle ∆ ABC ,  

tan θ = P/B  

tan θ  = AB/BC

tan θ  = 1/√3

tan θ  = tan 30°  

[tan 30° = 1/√3]

θ = 30°  

Hence, the angle of elevation of the Sun is 30°.  

HOPE THIS ANSWER WILL HELP YOU…

Answer 2

Answer:

θ = 30°

Step-by-step explanation:

Tan θ = perpendicular/base

= Height/Base

= x/√3(x)

= 1/√3

θ = 30°