Question

Help for Geometry! Medal for best answer!! Unit2 Lesson7

Answer 1

Apply the cos function to that angle. Cos of 22 degrees is x / 11. Round the value of cos 22 to the nearest tenth and find the x.

Answer 2

so cos22 = x/11 ?

Answer 3

Yeah.

Answer 4

i got 10.1 degrees right?

Answer 5

Cos of 22 degrees is 0.9 (rounded).
Cos of 22 degrees is x/11 (the side facing the other angle divided to the hypotenuse).

x = 11 * 0.9 = 9.9

Answer 6

This time you need to apply the sin function because you don't know anything about the side facing the other angle. The sin function in a right-angled triangle is expressed as the side facing the angle divided to the hypotenuse. After you get the sin, that theoretically counts as an angle although I'm sure you'll find tools on the internet to give you the angle after you input the sin.

Answer 7

so sinX = 7/9 right?

Answer 8

so than i got sin51 = 7/9 right?

Answer 9

Yeah, precisely. Remember you can use this trick only in right-angled triangles.

Sin of an angle = side facing the angle / hypot.
Cos of an angle = side facing the other angle / hypot.
Tangent = side facing the angle / side facing the other angle
Cotangent = side facing the other angle / side facing the angle.

The scheme is that you can use both these properties and the fact that sin/cos etc of an angle is a numerical value (what you just did here lol).