Lucy and Kylie both spy a drone in the sky. Lucy is 16 feet away from the drone with an angle of elevation of 34° from her to the drone. Kylie is 24 feet away from the drone. What is the angle of elevation from Kylie to the drone.

Respuesta :

SOLUTION

The information can be shown in the diagram below:

Using the law of sine it follows:

[tex]\frac{\sin34}{24}=\frac{\sin K}{16}[/tex]

This gives

[tex]\begin{gathered} 24\times\sin K=16\times\sin 34 \\ \sin K=\frac{16\times\sin 34}{24} \end{gathered}[/tex]

Solve the equation for K

[tex]\begin{gathered} \sin K=\frac{16\times0.5592}{24} \\ \sin K=\frac{8.9472}{24} \\ \sin K=0.3728 \\ K=\sin ^{-1}(0.3728) \\ K=21.88^{\circ} \end{gathered}[/tex]

Therefore, the angle of elevation from Kylie is 21.88°

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