A boat is heading towards a lighthouse, where Serenity is watching from a vertical distance of 141 feet above the water. Serenity measures an angle of depression to the boat at point A to be 9°. At some later time, Serenity takes another measurement and finds the angle of depression to the boat ( now at point B ) to be 61°. Find the distance from point A to point B. Round your answer to the nearest foot if necessary.

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d. vertex

step-by-step explanation:

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