Answer:
d=8.0 meters
Step-by-step explanation:
The volume of a cone is given by
V = 1/3 pi r^2 h
We are given the volume and the height
117.23 and the height 7
117.23 = 1/3 *3.14 *r^2 * 7
117.23 = 7.3266666666 *r^2
Divide each side by 7.3266666666
117.23/7.3266666666 = 7.3266666666 *r^2/7.3266666666
16.00045496 = r^2
Take the square root of each side
sqrt(16.00045496) =sqrt( r^2)
4.000 = r
We found the radius but it wants the diameter
d = 2*r
d =2*4.0
d=8.0 meters
You need x 20 to get to 10000, so do the same with 150 and get 3000, so it is 3000/10000
ANSWER:
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STEP-BY-STEP EXPLANATION:
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.
Hi,
i worked out the problem and I attached the picture