Question #199155

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


1
Expert's answer
2021-05-27T15:12:54-0400

The length of the string is 170m

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

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

Using the trigonometric ratio we get

Sin 50°=hl50\degree=\frac{h}{l}


h=lsin50°h=lsin 50\degree

=(170m)sin50°sin 50\degree

h=130.2mh=130.2m

The height of the balloon relative to the ground,to the nearest metre is therefore 130m130m



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