Answer:
x = 12.5
Explanation:
Since the figure above is a right angled triangle we can use trigonometric ratios to find x
To find x we use cosine
cos∅ = adjacent / hypotenuse
From the question
The hypotenuse is x
The adjacent is 10
Substitute these values into the above formula and solve for x
That's
![\cos(37) = (10)/(x)](https://img.qammunity.org/2021/formulas/mathematics/high-school/o52uu7ut3dporzw35vspftom2q19z8oyu7.png)
![x \cos(37) = 10](https://img.qammunity.org/2021/formulas/mathematics/high-school/wwjdd05ixjh1cx6bab1xswq975lkrnhhwg.png)
Divide both sides by cos 37
![x = (10)/( \cos(37) )](https://img.qammunity.org/2021/formulas/mathematics/high-school/q0lcqf3fhehbxtu6a72tqpejnis0km797h.png)
x = 12.52135
We have the final answer as
x = 12.5 to the nearest tenth
Hope this helps you