Chapter 8: Q. 38 (page 516)

By using the Right angled triangle and the information given below, solve the triangle.
$c = 10, A = 40 °$

Short Answer

Expert verified

Required values of the triangle are $B = 50 °, b = 7.66, a = 6.43$

Step by step solution

Step 1. Given information

$c = 10, A = 40 °$

For the right triangle shown in figure , we have

$c^{2} = a^{2} + b^{2}, A + B = 90 °$

Step 2. Calculation

$W e k n o w, F o r B, \Rightarrow A + B = 90 ° \Rightarrow B = 90 ° - A = 90 ° - 40 ° = 50 ° F o r b, \Rightarrow \cos (A) = \frac{b}{c} \Rightarrow b = \cos (A) \times c = \cos (40 °) \times 10 = 0.766 \times 10 = 7.66 F o r a, \Rightarrow c^{2} = a^{2} + b^{2} \Rightarrow a^{2} = c^{2} - b^{2} = 10^{2} - 7 . 66^{2} = 100 - 58.6756 = 41.3244 \Rightarrow a = \sqrt{41.3244} = 6.43$

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By using the Right angled triangle and the information given below, solve the triangle.
$c = 10, A = 40 °$

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.c=10,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

Geometry

Mechanics Maths

Probability and Statistics

Decision Maths

Discrete Mathematics

Applied Mathematics

Study anywhere. Anytime. Across all devices.

By using the Right angled triangle and the information given below, solve the triangle.
$c = 10, A = 40 °$