Answer:
<em>h = 8.54 units</em>
Step-by-step explanation:
<u>The Law of Cosines </u>
It relates the length of the sides of a triangle with one of its internal angles.
Let a,b, and c be the length of the sides of a given triangle, and x the included angle between sides a and b, then the following relation applies:
Since we know the values of all three side lengths, we solve the equation for x:
For the triangle ABC in the image, a=10, b=15, c=13, thus:
Thus, A = 58.67°
For the right triangle of height h and hypotenuse 10, we use the sine ratio:
Solving for h:
h = 8.54 units