Given the following triangle, solve for the missing side.

Given the following triangle, solve for the missing side.
right triangle with acute angles A and B, side adjacent to A equal to 5, side adjacent to B equal to 4

right triangle with acute angles A and B, side adjacent to A equal to 5, side adjacent to B equal to 4

	A.	9.32
	B.	8.67
	C.	7.34
	D.	6.40

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Given the following triangle, solve for the missing side.

right triangle with acute angles X and Y, side adjacent to X equal to 3.5, hypotenuse equal to 4.6

	A.	4.66
	B.	3.56
	C.	2.98
	D.	1.24

Given the following triangle, solve for side XY.

right triangle with acute angles X and Y, side adjacent to X equal to 6.1, angle X equal to 50 degrees

	A.	12.09
	B.	11.26
	C.	9.49
	D.	10.56

asked Sep 20, 2014 in TRIGONOMETRY by tonymate Pupil

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3 Answers

Best answer

Using cosine trigonometric function.

In △ XYZ,

cos 50° = adjacent side/hypotenuse

= XZ/XY

XY =XZ / cos 50°

= 6.1/ cos 50°

= 9.49

Option C is correct.

answered Sep 21, 2014 by bradely Mentor
selected Sep 24, 2014 by tonymate

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