How do i solve this trig question??
You use the definition of sine of an angle, in this case W, to solve this problem in almost a single step.
The definition of sine of an angle is:
Opposite is the measure of the side directly opposite of the angle
Hypotenuse is the side across form the 90 degree angle
Remember that this will only work for right triangles. A more complex version of this identity is used for non-right triangles.
Now, for your problem specifically, we take
IMPORTANT: Your calculator must be set to "Degrees" mode for this next part!
Then applying the appropriate rounding for the problem you get:
#"Since VWX is a right triangle use "color(blue)"trig. ratio"#
Since this is a right triangle, we are able to use the
We know the lengths of the opposite side from
Using your calculator, find the value of
Still using your calculator, hit
Here are a couple things to remember when you see questions like this:
- Determine which side lengths you know so that you can decide which function to use (
#tan, sin, cos#)
- When you have the form like the one that we had in this question (
#sin angleW=0.875#) remember to hit #2nd#and then the function. Or, depending on your calculator, you should use #sin^-1, cos^-1, tan^-1#instead.