Question

1. Noah's kite is flying above a field at the end of 65 feet of string. The angle of

elevation to the kite measures 70°. How high is the kite above Noah's head?
a. Identify the trigonometric function you would use to solve.
b. Give the equation you would use to solve.
C. Find the solution to the nearest foot.

Answer 1

A) sin θ = opposite/hypotenuse

B) sin 70 = h/65

C) h = 61 ft

Explanation:

I have attached an image of the triangle diagram that we will use to since this question.

A) From the image attached, we see that the height of the kite above Noah's head is given by h which is the opposite side of the triangle.

We have the hypotenuse as 65.

Thus, the trigonometric function,we will use is;

sin θ = opposite/hypotenuse

B) From A above, we can plug in the relevant values to get the equation we will use to solve. Thus;

sin 70 = h/65

C) sin 70 = h/65

0.9397 = h/65

h = 65 × 0.9397

h = 61.08 ft

To the nearest foot gives ;

h = 61 ft