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Example Question #1 : How To Find The Sine Of A Missing Side
In the triangle below, units and
units. What is
?
Possible Answers:
Correct answer:
Explanation:
Because , we need to first find the length of BC.
Using the Pythagorean theorem,
.
Example Question #1 : How To Find The Sine Of A Missing Side
What is the value of in the triangle above? Round to the nearest hundredth.
Possible Answers:
Correct answer:
Explanation:
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 #1 : How To Find The Sine Of A Missing Side
A right triangle has leg lengths and
. What is the sine of the angle opposite from the side of length
?
Possible Answers:
Correct answer:
Explanation:
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:
Joseph
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