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