SOLUTION: An airplane is flying at an elevation of 12,000 feet before diving at an angle of depression of 45 degrees for 25 seconds. The plane is traveling at an average rate of 260 miles pe

Question 549011: An airplane is flying at an elevation of 12,000 feet before diving at an angle of depression of 45 degrees for 25 seconds. The plane is traveling at an average rate of 260 miles per hour during the dive. At what elevation does the plane end the dive?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
An airplane is flying at an elevation of 12,000 feet before diving at an angle of depression of 45 degrees for 25 seconds. The plane is traveling at an average rate of 260 miles per hour during the dive. At what elevation does the plane end the dive?
:
This can be solved as a right triangle using the sine of 45 degrees, where:
the change altitude (a) is the side opposite and
the distance traveled in the dive is the hypotenuse (h)
:
We want the elevation change in feet.
Change distance of the dive to feet traveled in 25 seconds: (3600 sec in 1 hr)
h = * 25 = 9533.33 ft
:
sin(45) =
a = sin(45)*9533.33
a = 6741.1 ft change in elevation
therefore
12000 - 6741.1 = 5,258.9 ft altitude at the end of the dive
RELATED QUESTIONS
An airplane is flying east at a constant altitude of 28,000 meters. The pilot spots a... (answered by ikleyn)

A plane is flying at an elevation of 24000 feet. It is within sight of the airport and... (answered by ccs2011)

Two airplanes are flying near the Toronto Pearson airport. Airplane 1 is at an altitude... (answered by mananth,ikleyn)

An airplane is flying toward an airport at an altitude of 6000 ft. The... (answered by Fombitz)

A airplane at an altitude of 63,000 feet sees another airplane flying at 41,000 feet.... (answered by josgarithmetic,MathTherapy)

Thank you for the help: You are in a plane flying at an altitude of 900 feet. You see... (answered by jim_thompson5910,MathTherapy)

A plane is flying at an elevation of 24000 feet. It is within sight of the airport and (answered by Mathtut)

An airplane is flying at an elevation of 6050 feet, directly above a straight highway.... (answered by lwsshak3)

From an airplane flying at an altitude of 1000m , the angle of depression to a ship is 60 (answered by stanbon,solver91311)