Question

If the altitude of the sun is at 60°, then the height of the vertical tower that will cast a shadow of length 30 m is
(a)30√3 m
(b)15 m
(c)$\frac{30}{ \sqrt{3} }m$
(d)15√2 m

Answer 1

Answer:

Among the given options option (a) 30√3 m  is correct.

The height of the tower is 30√3 m.  

Step-by-step explanation:

GIVEN :

Length of a shadow , BC = 30 m  

Angle of elevation of the top of the tower, ∠ACB = 60°

Let AB =  'h' m be the height of the vertical tower

In right angle triangle, ∆ABC ,

tan C = AB/BC = P/ H

tan 60° = h/30

√3 = h/30

h = 30√3

AB = 30√3 m

Hence , the height of the tower is 30√3 m.  

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Answer 2

Answer:

(a)30√3 m

Step-by-step explanation:

If the altitude of the sun is at 60°, then the height of the vertical tower that will cast a shadow of length 30 m is

(a)30√3 m ✓

(b)15 m

(c)$\frac{30}{ \sqrt{3} }m$

(d)15√2 m

Ans: If the altitude of the sun is at 60°, then the height of the vertical tower that will cast a shadow of length 30 m is 30√3 m.