Thank you for visiting Set up a right triangle model for this problem and solve by using the reference table trigonometric ratio that applies A photographer stands 60 yards. This page is designed to guide you through key points and clear explanations related to the topic at hand. We aim to make your learning experience smooth, insightful, and informative. Dive in and discover the answers you're looking for!
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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Rewritten by : Jeany
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
