Answer: the height of the lighthouse is 838.8 feet
Step-by-step explanation:
The right angle triangle ABC illustrating the scenario is shown in the attached photo.
The angle of depression and angle A are alternate angles, hence, they are the equal.
The height, h of the lighthouse represents the opposite side of the right angle triangle. The distance of the boat from the foot of the lighthouse represents the adjacent side of the right angle triangle.
To determine h, we would apply
the tangent trigonometric ratio.
Tan θ, = opposite side/adjacent side. Therefore,
Tan 62 = h/446
h = 446tan62 = 446 × 1.8807
h = 838.8 feet to the nearest tenth.
Answer:
I think it is a but it is hard to see
Step-by-step explanation:
Answer:

Step-by-step explanation:
Given that,
Mass of a certain material, m = 71 pounds
Since, 1 ton = 2000 pounds
71 pounds = 0.0355 ton
Volume of the material, V = 2.5 gallons
Since, 1 m³ = 264.172 gallon
2.5 gallon = (2.5/264.172 ) m³
Density,

Answer:
a = 2
Step-by-step explanation:
Multiply equation by 2a to get rid of denominators.
10 + a = 12
a = 2
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