Question

At 9:00 a.m., Jessica's shadow on the ground is 32" long while Charise's shadow is 47" long. If the angle of elevation of the sun is 43°, how tall is each girl in inches?

Answer 1

Jessica is 29.84 "

Charise is 43.82 "

Explanation:

Since we have a right triangle we can apply the following:

Tan (A °) = opposite / adjacent

Our opposite side to the angle would be the height of each girl and the adjacent one the length of the shadow, we also know the angle therefore we must replace it in the following equation:

Height = Tan (A °) * Shadow

Jessica:

Height = Tan (43 °) * 32 = 29.84

I mean Jessica is 29.84 "

Charise:

Height = Tan (43 °) * 47 = 43.82

I mean Charise is 43.82 "