Charlie is at a small Airfield watching for the approach of a small plane with engine trouble he sees a plane at an angle of elevation of 32 at the same time the pilot radius radios Charlie and reports a plane's altitude is 1700 ft Charlie's eyes are 5.2 ft from the ground find the ground distance from from Charlie to the plane show how you know

Question

Mathematics

Shyann Sparks

Today, 18:37

Charlie is at a small Airfield watching for the approach of a small plane with engine trouble he sees a plane at an angle of elevation of 32 at the same time the pilot radius radios Charlie and reports a plane's altitude is 1700 ft Charlie's eyes are 5.2 ft from the ground find the ground distance from from Charlie to the plane show how you know

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Answers (2)

Know the Answer?

Catherine Guzman · Answer 1

2,712.2 ft

Step-by-step explanation:

Let d = the horizontal distance from Charlie to the plane.

By definition,

tan (32°) = 1694.8/d

1694.8/d = 0.6249

d = 1694.8/0.6249 = 2712.2 ft

Nigel Cain · Answer 2

2720 feet

Step-by-step explanation:

u can draw a right triangle whose opposite side is 1700 feet, the adjacent side is the ground distance from Charlie to the plane (x), and the angle between theses sides is 32°.

Then, tan (32°) = 1700 feet / x = > x = 1700 feet / tan (32°) = 1700 feet / 0.625 = 2720 feet.