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Jeremy finds a set of plans to build a model airplane. Most, but not all, of the lengths given in the plans are direct measurements. According to the plans, each horizontal stabilizer of the tail wing is made from a right triangle. The length of the leg of the triangle that touched the plane is AB=8 inches, and cosA =8/17. To find the number of inches each horizontal stabilizer extends from the plane, find BC

Jeremy finds a set of plans to build a model airplane. Most, but not all, of the lengths-example-1

2 Answers

2 votes

Answer:

15

Explanation:

Given ⇒
\left[\begin{array}{ccc}CosA=(AB)/(AC)=(8)/(17) \end{array}\right]


\left[\begin{array}{ccc}AC&=&17\\AB&=&\sqrt{AC^(2)-AB^(2)}\\BC&=&\sqrt{17^(2)-{8^(2)\\BC&=&√(225)\\BC&=&15\end{array}\right]

User Seidr
by
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3 votes
The answer is 15.

If given the cos A = 8/17
8 is the side containing angle A, 17 is the hypotenuse. Using either Pythagoras or knowing Right Triangle triples you get 15
User Webelo
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8.4k points