Answer :
Answer: 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) = [tex]\frac{Perpendicular}{Base}[/tex]
∴ tan 41° = [tex]\frac{AB}{BC}[/tex]
tan 41° = [tex]\frac{AB}{60}[/tex]
0.869286737 = [tex]\frac{AB}{60}[/tex]
AB = 52.2 yards ( approx.)
Thus, Height of the lighthouse is 52.2 yards
In reference to the angle of elevation (41 degrees), the adjacent side is 60 and the opposite side is the unknown.
Using tangent ratio:
tan 41 = opp/60
60 tan41 = opp
opp side = 52.2yards
LETTER B
Using tangent ratio:
tan 41 = opp/60
60 tan41 = opp
opp side = 52.2yards
LETTER B