asked 8.7k views
4 votes
The hypotenuse of right triangle XYZ is 28 and m

asked
User Alex Lew
by
8.0k points

1 Answer

4 votes

Solution

For this case we can do the following:

m < X = 60

One angle in a right triangle needs to be 90º

So then we can find the measure of the other angle like this.

180 -90-60 = 30º

We can find the following identity:


\sin 60=(y)/(28)

And solving for thw leg opposite we got:


y=28\cdot\sin 60=24.25

answered
User Steven Jeffries
by
7.5k points

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