Triangle ABC is a right triangle. Find the measure of side b. Round to the nearest hundredth.
A) 6.13 cm
B) 6.71 cm
C) 9.53 cm
D) 10.54 cm
E) 12.45 cm

Triangle ABC is a right triangle Find the measure of side b Round to the nearest hundredth A 613 cm B 671 cm C 953 cm D 1054 cm E 1245 cm class=

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Answer:

Applying the trigonometric functions, 8/b=Tan40

b=8/Tan40

Answer:

C) 9.53 cm

Step-by-step explanation:

We know this is a right triangle, so we can use trig relations

tan A = opposite side/ adjacent side

tan 40 = 8/b

Multiply each side by b

b tan 40 = 8

Divide each side by tan 40

b tan 40 / tan 40 = 8 / tan 40

b = 8/ tan 40

b = 9.534028741