SOLUTION: In a right triangle the cosine of an acute angle is 1/2 and the hypotenuse measures 7 inches. What is the length of the shortest side of the triangle?

Algebra.Com
Question 446092: In a right triangle the cosine of an acute angle is 1/2 and the hypotenuse measures 7 inches. What is the length of the shortest side of the triangle?
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
In a right triangle the cosine of an acute angle is 1/2 and the hypotenuse measures 7 inches. What is the length of the shortest side of the triangle?
-----
If the cos is 1/2 the side adjacent to that 60 degree angle is (1/2)7 = 3.5 in.
----
That side is opposite a 30 degree angle.
----
Since 30 degrees is the smallest angle the side opposite is
the smallest side = 3.5 in
============================
cheers,
Stan H.

RELATED QUESTIONS

What are the lenghts of the legs of a right triangle in which an acute angle measures 19º (answered by Alan3354)
One acute angle of a right triangle measures . To the nearest tenth, what is the length... (answered by richard1234)
In a right triangle suppose an acute angle measures 35degrees. If the side opposite that... (answered by Fombitz)
What are the lengths of the legs of a right triangle in which one acute angle measures... (answered by Alan3354)
what is the length of all the sides if the hypotenuse is 8 and its an acute right... (answered by ewatrrr)
the cosine of an angle in a right triangle is 4/7. what is the sine of this... (answered by nyc_function)
If the legs of a right Triangle measures 10 inches and 24 inches, what is the length, in... (answered by texttutoring)
1.If you are given an acute angle and the measurement of the adjacent side of that... (answered by ewatrrr,Theo)
I have a right triangle. I need to find the cosine of a 30 degree angle. The hypotenuse... (answered by lynnlo)