Question

A six-foot person walks from the base of a broadcasting tower directly toward the tip of the shadow cast by the tower. When the person is 132 feet from the tower and 3 feet from the tip of the shadow, the person's shadow starts to appear beyond the tower's shadow. (a) Draw a right triangle that gives a visual representation of the problem. Label the known quantities of the triangle and use a variable to represent the height of the tower. WebAssign Plot WebAssign Plot WebAssign Plot WebAssign Plot Correct: Your answer is correct. (b) Use a trigonometric function to write an equation involving the unknown quantity h. tan(θ) = 6 3 = Incorrect: Your answer is incorrect. (c) What is the height of the tower?

Answer 1

h = 270 ft

Explanation:

See annex

In small tiangle the tan ∠ABC = 6/3 = 2

arc tan 2 = 63,43 °

in big triangle the tan ∠ ABC is h/(132+3)

then h = 2 * 135 = 270 ft