Question

Help please find the missing sides!

Answer 1

Option B)

The value of x is 20 and y is 10

Explanation:

Here, in a given right triangle

ΔABC, m∠B = 90°

Now,

tanθ = opposite ÷ adjacent

tan 60° = 10√3 ÷ y

√3 = 10√3 ÷ y

y = 10√3 ÷ √3

y = 10

Now,

sinθ = opposite ÷ hypotenuse

sin 60° = 10√3 ÷ x

√3 ÷ 2 = 10√3 ÷ x

√3 × x = 10√3 × 2

x = 20√3 ÷ √3

x = 20

Thus, The value of x is 20 and y is 10

-TheUnknownScientist

Answer 2

x = 20

y = 10

Explanation:

Since we have a right triangle then:

sin(60) = 10√3/x ⇒ x = 10√(3)÷sin(60) = 20

cos(60) = y/20 ⇒ y = 20×cos(60) = 10