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Chapter 8: Q. 30 (page 516)

Use the right triangle shown below. Then, using the given information, solve the triangle.
$b = 4, B = 10 °; f i n d a, c, a n d A$

Short Answer

Expert verified

The respective values are

$A = 80 ° a = 0.35 c = 2.03$

Step by step solution

Given information

$b = 4, B = 10 °; f i n d a, c, a n d A$

Calculation

$S i n c e B = 10 °, A + B = 90 ° \Rightarrow A = 80 ° N o w, \tan (10) = \frac{a}{2} \cos (10) = \frac{2}{c} N o w s o l v i n g f o r a, c a = 2 \tan (10) = 0.35 c = \frac{2}{\cos (10)} = 2.03$

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Use the right triangle shown below. Then, using the given information, solve the triangle.b=4,B=10°;finda,c,andA

Short Answer

Step by step solution

Given information

Calculation

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Use the right triangle shown below. Then, using the given information, solve the triangle.
$b = 4, B = 10 °; f i n d a, c, a n d A$