Question

5. A kite is flying at a height of 15m from level
ground is attached to a string inclined at 30°
to the horizontal. The length of the string is
(A) 30 m
(B) 20 m
(C) 15 m
(D) 25 m​

Answer 1

The length of the string to the nearest meter is 50 \sqrt3

3

.

Step-by-step explanation:

Given:

A kite is flying at a height of 75 meters from the level ground, attached to a string inclined at 60 degree to the horizontal.

To find:

Find the length of the string to the nearest meter

Solution:

Height = 75 m, angel = 60 degrees

Sin 60 = perpendicular / hypotenuse

\frac{\sqrt3}{2} = \frac{75}{h}

2

3

=

h

75

h = \frac{150}{\sqrt{3}}

3

150

h = 50 \sqrt3

3