Question

The length of shadow of a tower on the plane ground is √3 times the height of the tower. The angle of elevation of sun is
(a)45°
(b)30°
(c)60°
(d)90°

Answer 1

Answer:

The angle of elevation of the sun is 30°.  

Among the given options option (b) 30°  is correct.

Step-by-step explanation:

Given : The length of the shadow of a tower on the plane ground is √3 times the height of the tower.

Let the height of the tower is AB

The length of the shadow of a tower ,BC = √3 AB

Let angle of elevation of the Sun is θ .

In right angle ∆ ABC ,  

tan θ = P/B  

tan θ  = AB/BC

tan θ  = AB/√3AB

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

SOLUTION

AB is the height of the tower and BC is the length of the shadow forming angle of elevation.

$tan \theta = \frac{AB}{BC}$

Given, AB= h & BC= √3h

$tan \theta = \frac{h}{ \sqrt{3h} } \\ \\ = > tan \theta = \frac{1}{ \sqrt{3} } \\ \\ = > \theta = 30 \degree$

Option (b)✓

hope it helps ☺️