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jason is saving up to buy a digital camera that costs $490. so far, he saved $175. he would like
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The height of the balloon above the ground is 2.65 miles.

Step-by-step explanation:

Given:

Angle of elevation of balloon from point A (a) = 24.2°

Angle of elevation of balloon from point B (b) = 46.8°

The distance between A and B (AB) = 8.4 miles

Consider two right angled triangles representing the given scenario.

Let the height of balloon be 'H'. So,

From triangle AOC, using cotangent of angle 'a', we have:

From triangle BOC, using cotangent of angle 'b', we have:

Now,

Plug in the values of 'a' and 'b' and solve for 'H'. This gives,

Therefore, the height of the balloon above the ground is 2.65 miles.