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Answer:
a = 5.3
c = 11.3
m∠A = 28°
Step-by-step explanation:
Note: You need to memorize the definitions of all the trig functions, Then this type problem will be easy for you. OK?
For example, tan of an angle = opposite side/adjacent side.
Tan 62 = 10/a
a tan 62 = 10
a = 10/tan 62 = 5.3
sin 62 = opp side/hypotenuse
= 10/c
c sin 62 = 10
c = 10/sin 62
= 11.3
The acute angles of a right triangle are complementary.
m∠A + 62 = 90
m∠A = 28°
Now, you try one on your own.