Question

Mustafa is flying his kite, and Ana is watching. From Ana's perspectively there is an angle of 109 degree between Mustafa and his kite. From Mustafa's perspective, there is an angle of 47 degree between Ana and the kite. If the length of the string between Mustafa and the kite is 46 m, how far is Ana from the kite? Do not round during your calculations. Round your final answer to the nearest meter.

Answer 1

`36\ m`

Explanation:

Let

x -----> the distance of Ana from the kite

we know that

Applying the law of sines

`(46)/(sin(109\°))=(x)/(sin(47\°))\\ \\x=(46)sin(47\°)/sin(109\°)\\ \\x=35.58\ m`

round to the nearest meter

`35.58=36\ m`