A plane flying a straight course observes a mountain at a be

A plane flying a straight course observes a mountain at a bearing of 31.4 degree to the right of its course. At that time the plane is 6 km from the mountain. A short time later, the bearing to the mountain becomes 41.4 degree. How far is the plane from the mountain when the second bearing is taken (to the nearest tenth of a km)? 7.6 km 3.2 km 4.7 km 8.6 km

Solution

6 x sin31.4 = d x sin(41.4)

d = 4.727 km = 4.7 km

 A plane flying a straight course observes a mountain at a bearing of 31.4 degree to the right of its course. At that time the plane is 6 km from the mountain.

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