Question

An airplane over the Pacific sights an island at a 20° angle of depression. If the plane is 475 m above water, how many kilometers is it from a point 475 m above the island?

A. 1.31 m
B. 17.3 m
C. 1.73 km
D. 1.31 km

Answer 1

@shawn9890

Answer 2

can u draw a rough figure

Answer 3

I tried but don't know how..

Answer 4

Okay. In this problem you want to use \(tan\).

So this is what we will plug in: \(tan20° = 475/x \)

Now you just want to get \(x\) to one side and isolate it: \(x = 475/tan20°\)

Now that will equal \( 1305m\), which will then turn into \( 1.31km \)

So that is the final answer! D. \(1.31km\)

Answer 5

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