Question

3. A kite is aloft at the end of a 1500 foot string. The string make an angle of 43° with the

ground. How far above the ground is the kite?
Do not calculate! Please provide your answer in calculator ready form. For example: h -
237cos(3129)

Answer 1

`h= 1500\,*\,sin(43^o)`

Explanation:

Notice that there is a right angle triangle formed with sides as follows:

hypotenuse is the actual 1500 ft string. The acute angle 43 degrees is opposite to the segment that represents the height of the kite from the ground. Therefore, the trigonometric ratio that we can use to find that opposite side to the given angle, is the sine function as shown below:

`sin(43^o) = (opposite)/(hypotenuse) \\sin(43^o) = (opposite)/(1500)\\opposite = 1500\,*\,sin(43^o)\\h= 1500\,*\,sin(43^o)`