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3 years ago

6

A rope is cut into three pieces P, Q, and R the lengths of the pieces are in the ratio 3:5:7 if the rope is 33 feet 9 inches, fi

nd the lengths of P, Q, R

1 answer:

Olin [163]3 years ago

4 0

P-81
q-135
r-189
find out how many inches the rope is then divide by 15 total parts then multiply each ratio by that

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$BC=12.8,\\AC=15.1$

Step-by-step explanation:

In right triangles only, the tangent of an angle is equal to its opposite side divided by its adjacent side.

Therefore, we have the following equation:

$\tan 58^{\circ}=\frac{BC}{8}$

Solving, we get:

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Also in right triangles only, the cosine of an angle is equal to its adjacent side divided by the hypotenuse of the triangle.

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We can also use the Pythagorean theorem now that we've found BC. However, if you choose to do so, make sure you don't use a rounded value for BC, as that could cause a notable deviation in your final answer.

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