Answer:
x = 39/√2
y = (13/2)*√3
Step-by-step explanation:
First let's write the only relation we need here:
Cos(θ) = (adjacent cathetus)/(hypotenuse)
or we also could use:
Sin(θ) = (opposite cathetus)/(hypotenuse).
For this problem, we know that the hypotenuse is H = 13*√3
Then if we steep on the 30° angle, the adjacent cathetus is x.
If we use the first relation we get:
cos(30°) = x/(13*√3)
With this, we can find the value of x.
We know that cos(30°) = (√3/√2)
Then:
(√3/√2) = x/(13*√3)
then:
(√3/√2)*(13*√3) = x = (√3*√3)*13/√2 = 3*13/√2 = 39/√2
x = 39/√2
Now if we use the angle of 60°, the adjacent side is y.
Then:
cos(60°) = y/(13*√3)
We know that:
cos(60°) = 1/2
Then:
(1/2) = y/(13*√3)
(1/2)*(13*√3) = y
(13/2)*√3 = y
