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Chapter 11: Q22. (page 432)

Use a calculator or the trigonometry table on page311to find the area of each figure to the nearest tenth.

Short Answer

Expert verified

The area of given figure is approximately 34.3 square unit.

Step by step solution

01

Step 1. Given information.

Hypotenuse=10 and胃=54鈭�

02

Step 2. Concept Used.

Trigonometric Ratios are defined as the values of all the trigonometric functions based on the value of the ratio of sides in a right-angled triangle.

Use trigonometric Ratios

cos胃=AdjacentHypotenusecos54鈭�=BCACcos54鈭�=BC12BC=7.0536

Base=7.0536

03

Step 3. Find the Height of triangle.

tan54鈭�=ABBCtan54鈭�=AB7.0536AB=7.0536脳1.3764AB=9.708

Height=9.708

04

Step 4. Find the area of triangle.

Area of triangle can be found using the formula

A=12bh=12(7.053)(9.708)=34.335鈮�34.3

Therefore, the area of given figure is 34.2Square unit.

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