A woman is standing 12 feet from a sculpture. The angle of elevation from her eyes to the top of the sculpture is 35º. If the woman's eyes are 5 feet 6 inches off the ground, how tall is the sculpture? Round answer to the nearest thousandth of a foot.

13.903 feet

Step-by-step explanation:

Let the height from the woman's eyes to the top of the sculpture be represented by x.

So that,

Tan 35 =

x = Tan 35 x 12

  = 0.70021 x 12

  = 8.4025

x = 8.403 feet

The height of the sculpture = The woman's eye level to the ground + x

                                              = 5 feet 6 inches + 8.403 feet

                                              = 5.50 feet + 8.403 feet

                                              =  13.903 feet

Thus, the sculpture has a height of 13.903 feet.

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in problems involving proportions, we can use cross products to test whether two ratios are equal and form a proportion. to find the cross products of a proportion, we multiply the outer terms, called the extremes, and the middle terms, called the means.

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