33. Solve each word problem.
$-225 \quad y=z$
a. Brian is flying his kite above a field at the end of 65 feet of string. If the angle of elevation to the kite measures $70^{\circ}$, how high is the kite above Brian's head if Brian is 6 feet tall?

Answer

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Answer

$\boxed{55.08}$ feet is the height of the kite above Brian's head

Steps

Step 1 ：Use the sine function to find the height of the kite above the ground: $\sin(70) = \frac{h}{65}$

Step 2 ：Calculate the height of the kite above the ground: $h = 65 \times \sin(70) \approx 61.08$

Step 3 ：Subtract Brian's height to find the height of the kite above Brian's head: $61.08 - 6 = 55.08$

Step 4 ：$\boxed{55.08}$ feet is the height of the kite above Brian's head