A tree casts a shadow 24ft long from its base with an angle of elevation of the sun of 40° How tall is the tree?*15.43 ft12 ft12.34 ft20.14 ft

To solve this problem, we can use the tangent of the angle of elevation, which is the ratio of the opposite side (the height of the tree) to the adjacent side (the length of the shadow).

The formula is: tan(θ) = opposite/adjacent

Here, the angle of elevation (θ) is 40° and the length of the shadow (adjacent) is 24ft. We need to find the height of the tree (opposite).

Rearranging the formula to find the opposite side gives us: opposite = tan(θ) * adjacent

Substituting the given values into the formula gives us: height of the tree = tan(40°) * 24ft

Using a calculator to find the tangent of 40 degrees and multiplying by 24 gives us the height of the tree.

So, the correct answer is the result of this calculation.