Question

5. What is the value of x?

Answer 1

Answer:

5$\sqrt{3}$

Step-by-step explanation:

in a 30-60-90 triangle the ratio of sides, respectively, is 1 : $\sqrt{3}$ : 2

you can set up a proportion like this to solve for 'x':

$\sqrt{3}$ / 1 = 15 / x

cross-multiply:

$\sqrt{3}$x = 15

x = 15/$\sqrt{3}$

rationalize the denominator by multiply top and bottom by $\sqrt{3}$

you get 15$\sqrt{3}$ ÷ 3 which is 5$\sqrt{3}$