A pilot is flying over a straight highway. He determines the angles of depressio

Question

A pilot is flying over a straight highway. He determines the angles of depression to two mileposts, 6 mi apart, to be x = 35 degree and y = 45 degree, as shown in the figure. (Round your answers to two decimal places.) (a) Find the distance of the plane from point A. mi (b) Find the elevation of the plane. mi To find the distance across a river, a surveyor chooses points A and B, which are x = 150 ft apart on one side of the river (see the figure). She then chooses a reference point C on the opposite side of the river and finds that BAC = 82 degree and ABC = 52 degree. Approximate the distance from A to C. (Round your answer to the nearest foot.) ft

Explanation / Answer

sin 110/6=sin 45/b

b=6sin45/sin 110

b=4.51mi

Distance of plane from point A is 4.51mi.

sin 35=4.51/h

h=4.51/sin 35=7.86mi

Elevation of plane is 7.86mi .

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