Question
A helicopter hovers at an altitude that is 2000 feet above a mountain peak of altitude 5280 feet. A second taller peak, is viewed from both the mountain top and the helicopter. From the helicopter, the angle of depression is 43° 55'. From the mountain top, the angle of elevation is 18° 40'. Find:
a) The distance from peak to peak.
b) Altitude of the peak of the taller mountain.
a) The distance from peak to peak.
b) Altitude of the peak of the taller mountain.
Answers
If the distance is x and the other peak has height h, note that
(7280-h)/x = tan43°55'
(h-5280)/x = tan18°40'
Now you can easily find x and h.
(7280-h)/x = tan43°55'
(h-5280)/x = tan18°40'
Now you can easily find x and h.
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