A lighthouse operator at point P, 25m above sea level sights a sailboat a point S. The angle of depression of the sighting is 10°. How far is the boat from the base of the lighthouse? Give your answer to the nearest 10m. Round your answer to a whole number.

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- : )

i like this question, it is unsual, are you sure it is sqrt and not squared?

step-by-step explanation:

(a) x intercepts: -6 and 2

you can obtain these by solving the equation 0=x^2 +4x-12 using your favorite quadratic formula. but it is easy to verify -6 and 2 indeed satisfy this equation.

(b) y intercept: -12

this is obtained by setting x=0: 0^2+4*0-12 = -12

(c) the minimum value is: -16 (this is the vertex)

you can get the vertex by rewriting the equation into the form:

there is no global or local maximum as the function goes to infinity, so only in the limit sense: +infinity.