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Answer :
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
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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
