Mathematics: Aboat is 20 ft away from a point perpendicular to the shoreline. a person stands at a point down the shoreline so that a 60° angle is formed between the closest point to the boat, the person, and the boat. how far is the person from the boat? draw a picture showing the right triangle. round your answer to the nearest tenth of a foot. show your work.

Aboat is 20 ft away from a point perpendicular to - id2060139, valenzueladomipay09u

cmcdonnell8812

09.03.2022

Step-by-step explanation:

Since it is given that Distance between a boat that is away from a point perpendicular to the shore line = 20 feet

Angle of elevation that is formed between the closest point to the boat and the person = 60°

Now, we need to find the distance between the person and the boat.

Using the trigonometric ratios,

$sin60^{{\circ}}=\frac{AB}{AC}$

$\frac{\sqrt{3}}{2}=\frac{20}{H}$

$\frac{40}{\sqrt{3}}=H$

$H=\frac{40}{1.7}$

H=23.0 feet

Thus, the distance between the person and the boat is 23 feet.

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maggie9459

01.03.2020

60 boys + 72 girls = 132 total students

Step-by-step explanation:

72/6 = 12

12*5= 60

Hope this helped :)

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