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Chapter 8: Q. 8 (page 535)

Find the area of each triangle. Round answers to two decimal places

Short Answer

Expert verified

The area of the triangle is 1.71 sq. units

Step by step solution

01

Given information

$B = 20 °, c = 5, a = 2$

02

Calculation

$L e t t h e a r e a o f t h e t r i a n g l e b e K K = \frac{1}{2} a c \sin B = \frac{1}{2} \times 2 \times 5 \times \sin 20 = 1.71 s q . u n i t s$

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Most popular questions from this chapter

the displacement d (in meters) of an object at time t (in seconds) is given $d = 6 + 2 \cos (2 π t)$

(a) Describe the motion of the object.

(b) What is the maximum displacement from its resting position?

(c) What is the time required for one oscillation?

(d) What is the frequency?

Solve each triangle.

$a = 4, b = 3, c = 6$

Find the distance from A to C across the pond illustrated in the figure.

Rework Problem 7 under the same conditions except that, at time t = 0, the object is at its resting position and moving down.

For any triangle, derive the formula $a = b \cos C + c \cos B$

$[H i n t : U s e t h e f a c t t h a t \sin A = \sin (180^{\circ} - B - C)]$

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