Question

Please Help! EOC Review!
Solve for x. Round to the nearest tenth of a degree, if necessary.

Answer 1

Answer: 55.7 degrees

Explanation:

you do cosine rule since 5.3 is adjacent and 9.4 is the hypotenuse

CAH -> adj/hypotenuse

to find the angle you do cos^-1

is this question you would do cos^-1(5.3/9.4)

which would = 55.67893095

rounded to nearest tenth would be 55.7 (nearest tenth)

remember to include the degrees symbol!

hope this is right <3

Answer 2

x ≈ 55.7°

Explanation:

using the cosine ratio in the right triangle

cos x =
`(adjacent)/(hypotenuse)` =
`(FG)/(FH)` =
`(5.3)/(9.4)` , then

x =
`cos^(-1)` (
`(5.3)/(9.4)` ) ≈ 55.7° ( t o the nearest tenth )