Question

Please Help with angles!

Answer 1

Explanation:

003:

To solve this, we'll be using the Pythagorean theorem,
`a^2+b^2=c^2`

`a^2+8^2=15^2\\a^2+64=225\\a^2=161\\a = √(161)`

004:

For the next couple questions we'll be using a fun rule called SOHCAHTOA, which stands for Sin (Opposite/Hypotenuse) Cos (Adjacent/Hypotenuse) Tan (Opposite/Adjacent). From this we can see that Tan θ is 8/
`√(161)`.

005:

From this rule again, we can tell that sin Ф (Opposite/Hypotenuse) is going to be
`√(161)`/15.

Answer:

003:
`√(161)`

004: 8/
`√(161)`

005:
`√(161)`/15