Answer:
33.85mm
Step-by-step explanation:
1. You can use the SOH-CAH-TOA neumonic to determine the missing side.
SOH = side over hypotenuse
CAH = adjacent over hypotenuse
TOA = opposite over adjacent
2. You now need to determine which operation frome above would apply to this problem, an adjacent measurement and angle has been provided, so you are looking for the opposite measurement.
3. You have to setup an equation, so that you can determine the missing value.
Tan (72) = (x/11)
3. Multiply everything by 11 to get rid of the denominator, making it easier to solve for x
11 * tan(72) = x
*you always use a graphing calculator with SOH-CAH-TOA, feel free to use an online graphing calculator if none is available to you*
x = 33.85 (again, use a graphing calculator to complete the operation above, let me know if you are unsure how to do that)
The value of x is 33.85 mm
