Answer to Question #199155 in Trigonometry for Hetain

Question

A balloon is flying at the end of a 170-m length of string, which is anchored to the ground. The

angle of inclination of the string is 50. Calculate the height of the balloon relative to the ground,

to the nearest metre.

a. 130 m b. 143 m c. 109 m d. 222 m

Answer 1

The length of the string is 170m

The angle of inclination with the horizontal ground is $50\degree$

We need to find the height of the balloon with relative to the ground

Using the trigonometric ratio we get

Sin $50\degree=\frac{h}{l}$

$h=lsin 50\degree$

=(170m)$sin 50\degree$

$h=130.2m$

The height of the balloon relative to the ground,to the nearest metre is therefore $130m$