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Find the missing angle for each triangle below and state the tool you used to find the angle.

Find the missing angle for each triangle below and state the tool you used to find-example-1
User Oskar Hofmann
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2.5k points

1 Answer

12 votes
12 votes

Answer:

19.2 degrees using sine rule

Explanation:

right angle = 90 degrees

to find the missing angle, we use the sine rule


(sin(A))/(a) = (sin(C))/(c)

insert the values that you have:


(sin(A))/(4.6) = (sin(90))/(14)

cross multiply


{sin(A)} = (sin(90))/(14) * 4.6 = 0.3285....

use inverse sine to get the angle


\sin {}^( - 1) (0.3285...) = 19.2(1dp)

answer:19.2 degrees

User Darian Miller
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2.8k points