Question

A flagstaff subtends a shadow of length 4 m on the ground when the sun’s elevation is 60°, then the length of flagstaff is
(1) 12 m
(2) 12 underroot3 m
(3) 4 /underroot 3
(4) 4underoot 3m

Answer 1

Answer:

Option D is correct.

Height of the flagstaff is 4√3 meters.

Step-by-step explanation:

A flagstaff subtends a shadow of length 4 m on the ground when the sun’s elevation is 60°, then to find the height of flagstaff

Look at the picture attached,Let AB is flagstaff,its shadow is AC = 4 cm,when sun’s elevation is 60°,

To find the height of the flagstaff,apply tan trigonometric function

$tan \: B= \frac{AC}{AB} \\ \\ tan \: 60°= \frac{AC}{4} \\ \\ \sqrt{3} = \frac{AC}{4} \\ \\ AC= 4 \sqrt{3} \: m$

So,the height of the flagstaff is 4√3 meters.

Hope it helps you.