newwaterent newwaterent
  • 19-06-2019
  • Mathematics
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A triangle ABC has two side lengths of 28 ft. and 24 ft. If angle C is 91°, what's the measurement of angle B?

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alinakincsem
alinakincsem alinakincsem
  • 19-06-2019

Answer:

B = 58.9

Step-by-step explanation:

We are given that a triangle ABC has two side lengths of 28 ft. and 24 ft. with angle C measuring 91°. We are to find the measure of angle B.

AB = 28 ft

AC = 24 ft

For this, we will use the sine formula:

[tex]\frac{sin B}{24} = \frac{sin91}{28}[/tex]

[tex]sin B = \frac{sin91 \times 24}{28}[/tex]

[tex] sin B = 0 . 8 5 7 [/tex]

[tex] B = sin' 0 . 8 5 7 [/tex]

B = 58.9

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