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2 years ago

If B =90°,ac=96cm,c=30° what dose ab = in cm

Mathematics

2 answers:

dem82 [27]2 years ago

7 0

Answer: 48

96/2 = 48 cm

masya89 [10]2 years ago

7 0

<u>Answer:</u>

ab = 48 cm

<u>Step-by-step explanation:</u>

Supposing ABC is a right angled triangle where m∠B = 90°, ac = 96 cm and c = 30°, we are to find the length of the side ab in cm.

For this, we will use the trignometric ratios to find ab.

$sin B = \frac { a b } { a c }$

$sin 30 = \frac { a b } { 9 6 }$

$\frac{1}{2} =\frac{ab}{96}$

$96=2ab$

$ab=\frac{96}{2}$

ab = 48 cm

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