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:
1/9
Step-by-step explanation:
there are 9 marbles in all so the probability of getting 1 blue marble would be 1/9
Answer:
63
Step-by-step explanation:
When a quadrilateral is in the circle, the opposite angels are supplementary, meaning they equal 180. So you do 180-117 and get 63
N-2.5 represents the cost for each shirt being subtracted by $2.50 due to the coupon
Answer:
$76.51
Step-by-step explanation:
The price after discounting is (1.00 - .35)($110), or 0.65($110) = $71.50.
The price after 7% sales tax has been added in is
(1.00 + 0.07)($71.50) = $76.51.