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 122 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. Show the known quantities of the triangle and use a variable to indicate the height of the tower.

(b) Use a trigonometric function to write an equation involving the unknown quantity h.
(c) What is the height of the tower?

Answer 1

B.  $\tan{\alpha}= \frac{h}{122+3}$

c.  
$\tan{\alpha}=\frac{h}{122+3} = \frac{6}{3} \\ \\ \frac{h}{125} = 2 \\ \\h=250$