A utility pole has a support wire that reaches from the top of the pole to the ground, forming a right triangle. Ryan has measured the angle of elevation to the top of the pole formed by the wire and the ground to be 59°. He also knows that the horizontal distance from the base of the pole to the wire is 7 meters. What is the approximate height of the utility pole?

mk./km: lm

step-by-step explanation:

,mlmlm

; mk

lk

x = ±sqrt(10)

step-by-step explanation:

5 - 2x² = -15

subtract 5 from each side

5-5 - 2x² = -15-5

-2x^2   = -20

divide by -2 on each side

-2x^2   /-2= -20/-2

x^2 =10

take the square root on each side

sqrt(x^2 )=±sqrt(10)

x = ±sqrt(10)

check:

5 - 2x² = -15

+sqrt(10)

5 - 2(sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15

-sqrt(10)

5 - 2(-sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15