Katie is watching a helicopter flying at an altitude of 5 miles. If the angle of elevation is pi/3 , the distance between Katie

Question

Semenov [28]

3 years ago

13

Katie is watching a helicopter flying at an altitude of 5 miles. If the angle of elevation is pi/3 , the distance between Katie

and the helicopter is approximately miles.

Mathematics

1 answer:

Art [367] · Answer 1 · 2022-08-07T09:08:07+03:00

Art [367]3 years ago

3 0

From SOH CAH TOA, you know that
.. Sin = Opposite/Hypotenuse
.. sin(π/3) = (5 miles)/Hypotenuse
.. Hypotenuse = (5 miles)/sin(π/3) = 5/(√3/2) miles ≈ 5.774 miles

The straight-line distance from Katie to the helicopter is about 5.77 miles.