A search and rescue plane flying at an altitude of 1000 feet spots a ship in the ocean with an angle of depression of 7 degrees. The pilot follows his line of site and flies directly toward the boat for 0.7 miles. At this point his altitude is _____ feet. Use 1 mile = 5280 feet, and round to the nearest whole number. (Here, the pilot is descending along the hypotenuse of the original triangle. He travels 0.7 miles along this hypotenuse. Answer the question by finding the height of the new triangle.)

1 answer

sin7o = 1000/L
L=1000/sin7 = 8206 Ft=Line of site(hyp)

L' = 8206 - 0.7*5280 = 4510 Ft.

h = 4510*sin7 = 550 Ft.