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Chapter 8: Q. 14 (page 527)

Solve each triangle.

Short Answer

Expert verified

The solution isC=165°,a≈3.4,b≈1.7.

Step by step solution

01

Step 1. Given information 

02

Step 2. Calculation 

We know,

A+B+C=180°

10°+5°+C=180°

C=165°

Now use Law of Sines -

role="math" localid="1646916219249" sinAa=sinCc and role="math" localid="1646916231339" sinBb=sinCc

sin10°a=sin165°5 sin5°b=sin165°5

5sin10°sin165°=a 5sin5°sin165°=b

role="math" localid="1646916512638" 3.4≈a 1.7≈b

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Most popular questions from this chapter

A laser beam is to be directed through a small hole in the center of a circle of radius 10 feet. The origin of the beam is 35 feet from the circle (see the figure). At what angle of elevation should the beam be aimed to ensure that it goes through the hole?

an object attached to a coiled spring is pulled down a distance a from its rest position and then released. Assuming that the motion is simple harmonic with period T, write an equation that relates the displacement d of the object from its rest position after t seconds. Also assume that the positive direction of the motion is up:

a=5.T=2seconds

For any triangle, derive the formula a=bcosC+ccosB

Hint:UsethefactthatsinA=sin180∘-B-C

The amplitude A and period T off(x)=5sin(4x) are ____ and ____ .

In the given problem solve the triangle using either the law of sines or law of cosines-

A=10°,a=3,b=10
See all solutions

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