Chapter 8: Q. 36 (page 516)

By using the Right angled triangle and the information given below, solve the triangle.
$a = 6, A = 40 °$

Short Answer

Expert verified

Required values of the triangle are $b = 7.2, c = 9.37, B = 50 °$ .

Step by step solution

Step 1. Given information

$a = 6, A = 40 °$

For the right triangle shown in figure , we have

$c^{2} = a^{2} + b^{2}, A + B = 90 °$

Step 2. Calculation

$W e k n o w, F o r B, \Rightarrow A + B = 90 ° \Rightarrow B = 90 ° - A = 90 ° - 40 ° = 50 ° F o r b, \Rightarrow \tan (A) = \frac{a}{b} \Rightarrow b = \frac{a}{\tan (A)} = \frac{6}{\tan (40 °)} = \frac{6}{0.839} = 7.2 \Rightarrow c^{2} = a^{2} + b^{2} = 6^{2} + 7 . 2^{2} = 36 + 51.84 = 87.84 \Rightarrow c = \sqrt{87.84} = 9.37$

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By using the Right angled triangle and the information given below, solve the triangle.
$a = 6, A = 40 °$

Short Answer

Step by step solution

Step 1. Given information

Step 2. Calculation

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By using the Right angled triangle and the information given below, solve the triangle.a=6,A=40°

Short Answer

Step by step solution

Step 1. Given information

Step 2. Calculation

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Statistics

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Study anywhere. Anytime. Across all devices.

By using the Right angled triangle and the information given below, solve the triangle.
$a = 6, A = 40 °$