SOLUTION: during a 4.00 minute period after take-off, a jet traveled at 490 mph at an angle of 23.5 degrees above the horizon. Find its gain in altitude during this period of time.

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Question 147440: during a 4.00 minute period after take-off, a jet traveled at 490 mph at an angle of 23.5 degrees above the horizon. Find its gain in altitude during this period of time.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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during a 4.00 minute period after take-off, a jet traveled at 490 mph at an angle of 23.5 degrees above the horizon. Find its gain in altitude during this period of time.
:
Find the distance traveled in feet, in 4 min at 490 mph
climb dist = 4%2F60%29 * 490 * 5280
climb dist = 172480 ft, this would be the hypotenuse of a right triangle
:
The right triangle sides would be the ground distance, and the altitude (side opposite)
:
Find the altitude (a) by finding the sine of 23.5 degrees
sin(23.5) = a%2F172480
.39875 = a%2F172480
a = .39875 * 172480
:
a = 68,776.24 ft would be the altitude