Question

Find the value of each variable. Round to the nearest tenth if needed. :))

Answer 1

Answer:

x = 11$\sqrt{3}$

y = 33

Step-by-step explanation:

this triangle is a 30-60-90 and has side lengths, respectively, in the ratio of 1 : $\sqrt{3}$ : 2

to find 'y' we can use this proportion:

2÷22$\sqrt{3}$ = $\sqrt{3}$÷y

cross-multiply to get:

2y = 22(3)

2y = 66

y = 33

to find 'x' we can use this proportion:

1÷x = 2÷22$\sqrt{3}$

cross-multiply to get:

2x = 22$\sqrt{3}$

x = 11$\sqrt{3}$