Question

A plane ascends at a 40° angle. When it reaches an altitude of one hundred feet, how much ground distance has it covered? To solve, use the trigonometric chart. Round the answer to the nearest tenth.

Answer 1

Draw a right triangle figure.
Altitude (the vertical side) = 100
40 degrees = angle of hypotentuse above horizontal.
(Ground Distance)*tan 40 = 100
Ground distance = 100/tan 40 = 119.2 ft

I used a pocket calculator instead of a trig chart. You could also search tan (40 degrees) on Google.

http://www.google.com/search?hl=en&rlz=1G1GGLQ_ENUS366&ie=ISO-8859-1&q=tan%2840+degrees%29&btnG=Search

Answer 2

A 20 ft. beam leans against a wall. The beam reaches the wall 13.9 ft. above the ground. What is the measure of the angle formed by the beam and the ground?

Answer 3

44