Answer:
Step-by-step explanation:
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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:
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Step-by-step explanation:
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This is a problem of fundamental counting principle. In a
sequence of events, the total possible number of ways all events can performed
is the product of the possible number of ways each individual event can be
performed. So here there is one car in each place so there 4 possible
cars to get the 1st place, 3 possible car for the 2nd
place, 2 possible cars for 3rd place and 1 for the 4th
place. The 4x3x2x1 = 24 different order