there is a cell phone tower in the field across from reems house of reem walks 15m from the tower and finds the angle of elevation from her position to the top of the tower to be 30 how tall is the tower?

Respuesta :

Answer:

approx. 8.7m ([tex]5\sqrt{3}[/tex])

Step-by-step explanation:

x is the height of the tower

15m is the distance from the tower

drawing a diagram allows you to see that you can create a triangle with these values where the angle of elevation is the angle opp. of the tower and adj. to the distance. (hope that makes sense)

Then using trig. you get:

Tan 30=x/15m

multiply both sides by 15m

15m*tan 30=[tex]5\sqrt{3}[/tex]

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