Question

Solve for x. Round to the nearest tenth, if

necessary.
Answer:
S
98
X
31°
T
+

Answer 1

x ≈ 114.3

Explanation:

using the cosine ratio in the right triangle

cos31° =
`(adjacent)/(hypotenuse)` =
`(ST)/(RT)` =
`(98)/(x)` ( multiply both sides by x )

x × cos31° = 98 ( divide both sides by cos31° )

x =
`(98)/(cos31)` ≈ 114.3 ( to the nearest tenth )