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worty [1.4K]
3 years ago
9

Amelia is looking at the top of a lighthouse. She knows she is 30 feet from the base of

Mathematics
1 answer:
statuscvo [17]3 years ago
8 0

Answer:

25.7 feet

Step-by-step explanation:

We are solving a right angled triangle.

We are the Trigonometric function of Tangent

tan θ = Opposite side/Adjacent

Angle of Elevation = θ = 34°

Opposite side = Height

Adjacent = 30 feet

tan 34° = Opposite side/30 feet.

Opposite side = tan 34° × 30 feet

Opposite side = 20.235255505 feet

The height of the light house =

Opposite side(height) + Amelia's height

20.235255505 feet + 5.5 feet

= 25.735255505 feet

Approximately to the nearest tenth ≈ 25.7 feet

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