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Snowcat [4.5K]
2 years ago
14

Find the value of x.

Mathematics
2 answers:
Elis [28]2 years ago
8 0

Answer:

C (86.113)

Step-by-step 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/<em>sin</em>a = 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:)

masya89 [10]2 years ago
3 0

Step-by-step explanation:

\tan(26)  =  \frac{42}{x}  \\0.487732588565 \times x = 42 \\ x  = 86.11276134633

<em><u>C.x=86.113</u></em>

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