Your rescue helicopter flies toward David's location, and you spot his boat at angle of
depression of 27*. The radar on board the helicopter reads a straight-line distance of 540 m to
the boat. How much further horizontally must the helicopter fly to hover directly over the boat?
Draw and label a diagram with your calculations. Round your answer to one decimal place.

Question

contestada

Respuesta :

MrRoyal MrRoyal · Answer 1 · 2022-01-20T11:57:11+01:00

The helicopter must fly 481.1 m further to hover directly on the boat

A straight line is any line that extends both sides, without having any curved surface on it.

See attachment for the diagram that represents the rescue mission.

From the attached image, the horizontal distance (d) is calculated using the following sine ratio

[tex]\sin(90 - 27) = \frac{d}{540}[/tex]

This gives

[tex]\sin(63) = \frac{d}{540}[/tex]

Make d the subject

[tex]d = 540 \times \sin(63)[/tex]

[tex]d = 481.1[/tex]

Hence, the helicopter must fly 481.1 m further to hover directly on the boat