Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Trigonometry

Question:

A kite is flying at a height of 145 m. The thread attached to it is assumed to be stretched straight and makes an angle of 60° with the level ground. The length of the string is?

Options:

2

1

\(\frac{ 289 }{\sqrt {3}}\)

\(\frac{ 290 }{\sqrt {3}}\)

Correct Answer:

\(\frac{ 290 }{\sqrt {3}}\)

Explanation:

AC = length of string

θ = angle of elevation

AB is the height of kite above ground

sin 60°  =      \(\sqrt {3}\)       :        2

                  (AB)           (BC)

                     ↓                ↓

                   145          \(\frac{145}{\sqrt {3}}\) × 2 = \(\frac{ 290 }{\sqrt {3}}\)