Set up a right triangle model for this problem and solve by using the reference table trigonometric ratio that applies. follow the models above.
a photographer stands 60 yards from the base of a lighthouse and observes that the angle between the ground and the top of the lighthouse is 41°. how tall is the lighthouse?
a.45.3 yards
b.52.2 yards
c.39.4 yards

B. 52.2 yards

Lighthouse is 52.2 yards tall.

Step-by-step explanation:

Let AB denotes the height of the lighthouse & BC denotes the distance between the base of a lighthouse and Photographer.

In Figure,  ∠ACB = 41° & ∠ABC = 90°, Threrefore,  Base is BC and perpendicular is AB.

As we know, tan(∠ACB) =

∴  tan 41° =

tan 41° =

0.869286737 =

AB = 52.2 yards ( approx.)

Thus, Height of the lighthouse is 52.2 yards

the answer is 31.27mph

answer: a video game has three difficulty levels: easy, medium, and expert. the game's scoring works in such a way that a player has to score a fixed number of points to advance to the next level, and then the scoring starts over. the total score needed to clear all three difficulty levels is 7,500. two times the number of points needed to clear the easy level is 500 more than the number of points needed to clear the medium level. twice the number of points needed to clear the medium difficulty level is 1,500 more than the number of points needed to clear the expert level. if x, y, and z represent the easy, medium, and expert levels, respectively, and a is the coefficient matrix of the system of equations modeling this situation, identify the inverse matrix, a-1, and the solution matrix, x, of the system of equations.

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