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1 answer:
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Answer: the distance of the boat from the foot of the lighthouse is 290.5 feet.
Step-by-step explanation:
The right angle triangle ABC representing the scenario is shown in the attached photo.
Angle A is alternate to the angle of depression, hence, they are the same.
The height of the lighthouse represents the opposite side of the right angle triangle. The distance, x of the boat from the foot of the lighthouse represents the adjacent side of the right angle triangle.
To determine x, we would apply
the tangent trigonometric ratio.
Tan θ, = opposite side/adjacent side. Therefore,
Tan 11.1 = 57/x
x = 57/Tan 11.1 = 57/0.1962
x = 290.5 feet to the nearest tenth.
Answer:
22, 19, 16 and - 5
Step-by-step explanation:
To evaluate any term from the n th term formula substitute the terms position value for n
given = 25 - 3n, then
(a)
= 25 - (3 × 1) = 25 - 3 = 22
= 25 - (3 × 2) = 25 - 6 = 19
= 25 - (3 × 3) = 25 - 9 = 16
(b)
= 25 - (3 × 10) = 25 - 30 = - 5