Question

Find the value of the variable.

Answer 1

Answer:

x=6 and y=3√3

Step-by-step explanation:

let the sides be A, B and C ( As shown as in the figure attached below)

tan 60° = opposite/adjacent

tan60° = BC/AB

√3 = y/3           ( as value of tan60=√3 and as BC=y)

Therefore,

y = 3√3

According to pythagoras therom,

AC^2 = AB^2 + BC^2

x^2 = 3^2 + y^2

x^2 = 9 + 3√3^2

x^2 = 9 + 27

x^2 = 36

Therefore,

x=6

Hope the answer helps :)