Question

Find the value of x to the nearest tenth.

Answer 1

X/32=tan54
X=44
But since it is to nearest tenth it is 44.0

Answer 2

Answer: 44

What is
`S(O)/(H) C(A)/(H)T(O)/(A)` ?

`S(O)/(H) C(A)/(H)T(O)/(A)` is an abbreviation for how to making finding the angle measurements of right triangles easier!

`S(O)/(H)` is also known as sine. Using the opposite side length of the triangle [O] and the hypothenuse [H], can help you find the missing angle measurement of a triangle.

• C is cosine and T is tangent
• A is adjacent side length

As stated before, this abbreviation is typically used to help find missing angles, but in this question, you already have your angle measurements. You are missing a side length.

Using the angle 54° as a reference point, the side length 32 is adjacent to it, so you have [A]. With A, you can use either Cosine or Tangent.

The missing side is opposite the 54° angle, so you have [O]. The only ratio with O and A belongs to Tangent, so we will use this ratio to solve for the missing side.

Write this equation down and use your calculator to solve for x:

*make sure your calculator is in degrees*

tan (54°) =
`(x)/(32)`

32 × tan (54°) = x

44.04 ≈ 44 =x