the angles of elevation of a hot air balloon from the two points on level ground are 20° and 42° respectively. if the points are 4.8 miles apart and the balloon is between the points, approximate, to the nearest tenth of a mile, the height of the balloon above the ground.

To the nearest tenth, the height of the balloon is 2.9 miles

Step-by-step explanation:

The nearer point takes the greater angle of elevation.

The diagram is shown in the attachment.

The height of the balloon above the ground is c unit.

From triangle ABD,

...eqn1

From triangle ABC,

..eqn2

We equate both equations and solve for c.

To the nearest tenth, the height of the balloon is 2.9 miles

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