Question

Find the value of X. Round to the nearest tenth. Plz Help.

Answer 1

x = 26.7 units

Explanation:

1. Find the third side: 180 = 90 + 64 + A, where A is the unknown angle

A = 180 - 154, A = 26°

2. Law of sines: sinA/a = sin B/b, where A and B are angles on a triangle, and a and b are the angles' opposite sides.

Plug in: sin(26°)/13 = sin(64°)/x

Means-extremes + multiply: x = 13sin(64°)/sin(26°)

Simplify: x ≈ 26.7 units (It is better to put one equation straight into the calculator instead of doing it one at a time, since the answer will be more accurate.)

Answer 2

x = 26.7

Explanation:

Using the tangent ratio in the right triangle

tan64° =
`(opposite)/(adjacent)` =
`(x)/(13)`

Multiply both sides by 13

13 × tan64° = x, thus

x ≈ 26.7