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At a point 25 ft. from the base of a totem pole, the angle of elevation of the top of the pole is 50.1 °. How tall is the totem pole to the nearest foot?

Sagot :

Answer:

height ≈ 30 ft

Step-by-step explanation:

The situation is modelled by a right triangle.

let h be the height of the totem pole, then

tan50.1° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{h}{25}[/tex] ( multiply both sides by 25 )

25 × tan50.1° = h , then

h ≈ 30 ft ( to the nearest foot )