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Stels [109]
4 years ago
13

If the distance from the boat to the lighthouse is 110 meters and the angle of elevation is 44°, which of the following equation

s will find the height of the lighthouse?

Mathematics
1 answer:
Vladimir79 [104]4 years ago
7 0

Answer:

<h2>9.656cm</h2>

Step-by-step explanation:

Applying  SOH CAH TOA

The opposite to the angle 44° is the height

let the height be x meters

The distance from the both to the lighthouse is 110 meters which is the adjacent

Applying Tan ∅= opp/adj

The equation used to find the height is Tan ∅= opp/adj

Tan (44)=\frac{x}{110} \\\0.9656= \frac{x}{110} \\\\0.9656*10= x\\9.656=x\\x= 9.65cm

The height is 9.65cm

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