All ACT Math Resources
Example Question #91 : Trigonometry
In the triangle below, units and units. What is ?
Because , we need to first find the length of BC.
Using the Pythagorean theorem,
Example Question #92 : Trigonometry
What is the value of in the triangle above? Round to the nearest hundredth.
We know that the sine of an angle is:
Therefore, we can write for this question:
This allows us to solve for easily:
Rounding, this gives us .
Example Question #93 : Trigonometry
A right triangle has leg lengths and . What is the sine of the angle opposite from the side of length ?
Using SOHCAHTOA, the sine of an angle is simply the length of the side opposite to it over the hypotenuse; however, we do not have the length of the hypotenuse yet.
Using the Pythagorean Theorem, we can solve for it:
So, the sine of this angle is: