Question

Find x and y
60°
y
22
X

Answer 1

38.1051177665 is the correct Answer

Step-by-step explanation:

In the given question base (b)= 22

And hypotenuse (h) = y

And angle between them is = 60⁰

As we know cosθ = b/h

so;

`\cos60⁰= (22)/(y ) \\ \\ ⇒ (1)/(2) = (22)/(y) \\ \\ ⇒y = 44`

we have to find x perpendicular (P) = ?

so ; As we know

Hypotenuse²= Base² + Perpendicular²

Perpendicular² = Hypotenuse²– Base²

`{p}^(2) = { h}^(2) - {b}^(2) \\ \\ p = \sqrt{ {h}^(2) - {b}^(2) } \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: = \sqrt{ {(44)}^(2) - {(22)}^(2) } \\ \\ \: \: \: \: \: \: \: \: \: \: = √(1,936 - 484) \\ \\ = √(1452) \\ \: \: \: \: \: \: \: \: \: \: \: \: \: = 38.105117766`

Hope it helps

thank you :)