Trigonometry ( solve the right triangle)

B=47.00°

a=18.70

c=27.30

Step-by-step explanation:

Calculation for B

The sum of the interior angles of a triangle is 180°

180°=43°+90°+B°

180=133+B

180-133=B

B=47°

To the nearest tenth=47.00°

Calculation for a

Using SOHCAHTOA

To the nearest tenth=18.70

Calculation for c

Using Pythagoras theorem

c²=18.65²+20²

c²=347.82+400

c²=747.8

√c²=√747.8

c=27.3459

To the nearest tenth=27.30

x + 107

step-by-step explanation:

let's say that the number he had before the mistake was x. then, he will have 107 dollars more than this, so the answer is x + 107.

we know that

applying the law of sines

°

so

∠j=18°

∠k=29°

∠l=180-(18+29)=133°

the answer part a) is

the measure of angle k is  ≈29°

part b)  the measure of angle k could also be

(180-29)=151°

so

∠j=18°

∠k=151°

∠l=180-(18+151)=11°

the answer part b) is

the measure of angle k could also be 151°

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