Question

5) Your math class is going totest new digitalclinometers by measuring the angle ofelevation of a kite you will fly. The kiteflies to an angle of 65.2° on 510 feet ofstring. Assuming that the string istaut, how high is the kite to the nearestfoot?

Answer 1

The height of the kite is 463 ft

Using sine expression. (sin (angle) = opposite/hypotenuse)

$\begin{gathered} \sin \text{ (65.2) = }\frac{x}{510} \\ x\text{ = 510 sin(65.2)} \\ x\text{ = 462.97 }\approx463 \end{gathered}$