(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

A hot-air balloon is floating above a straight road. To estimate their height above the ground, the balloonists simultaneously measure the angle of depression to two consecutive mileposts on the road on the same side of the balloon. The angles of depression are found to be 20^{o}and 22^{o}. How high is the balloon?

2. Relevant equations

the trigonometric functions

the Pythagorean theorem

3. The attempt at a solution

I have just tried constructing different right triangles, but always end up not having enough information to calculate side lengths and angles.

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# Height of an object given angles of depression

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