Answer:
x = 18√3
Explanation:
From the picture attached,
In a right triangle,
Measure of one angle = 30°
Measure of adjacent side of the angle = 9 units
We have to find the measure of Hypotenuse from the given properties.
By cosine rule,
cos(30°) =
![\frac{\text{Adjacent side}}{\text{Hypotenuse}}](https://img.qammunity.org/2022/formulas/mathematics/high-school/2g10r4cqopjqdlu10ohof3crit2z805ax1.png)
![(√(3))/(2) =(9)/(x)](https://img.qammunity.org/2022/formulas/mathematics/high-school/76lk0s8l6twn9boau2y1rwkxupd8fpgthf.png)
![x=18√(3)](https://img.qammunity.org/2022/formulas/mathematics/high-school/hcyvv1vg6fo45dgx2tj52utm2j3i0jmkaw.png)
Therefore, measure of Hypotenuse is 18√3 units.