Question

Find the value of x.

Question options:

A)

35.631

B)

49.508

C)

86.113

D)

20.485

Answer 1

C (86.113)

Explanation:

First, find the missing angle B. Since angles in a triangle add upp to 180,

180-26-90= 64

Then use the formula a/sina = b/sinb

' a' in the formula is the missing length X and sina is the corresponding(opposite) angle of X which is sin64.

B in the formula would be 42 and sinb is sin26 (the angle).

Substitute all values into the formula,

X/sin64 = 42/ sin26

Shift sin64 to the right side:

X= 42(sin64)/ sin26

X= 86.113

Hope this makes sense:)

Answer 2

Explanation:

`\tan(26) = (42)/(x) \\0.487732588565 * x = 42 \\ x = 86.11276134633`

C.x=86.113