Question

A tree trunk of height 12 meters is erected with the support of three metal chains. An angle of 60° is made by each metal chain with the tree trunk. Find the length of the metal chain.

(a) 32 meters

(b) 10meters

(c) 24 meters

(d) 18 meters

I had been asked this question in homework.

The doubt is from Trigonometry Application in chapter Trigonometry Application of Mathematics – Class 10

Answer 1

Right choice is (c) 24 meters

The explanation: We have to find the length of the metal chain AC.

cos 60° = \(\frac {BC}{AC}\)

\( \frac {1}{2} = \frac {12}{AC}\)

AC = 24 meters