Answer:
18cm and 7m
Explanation:
Since these are right triangles, you can use the SOH, CAH, TOA equations to solve for the unknown sides. Most people remember these by remembering SO CA TOA which sounds like you're saying SUCK A TOA. The opposite and adjacent are the sides either opposite or adjacent to the angle you know.
SOH= Sin of angle = opposite over hypotenuse
CAH= Cos of angle = adjacent over hypotenuse
TOA= Tan of angle = opposite over adjacent
Triangle 1: You have to use TOA since you know the angle and the adjacent side to the angle and you are looking for the opposite side from the angle.
side a
Tan 61 deg = --------------- simplifying you get Side a = (tan 61 deg) x 10cm
b=10cm
Answer rounded to nearest whole number is 18cm
Traingle 2: Based on the given angle, you are looking for the opposite side and you know the hypotenuse. So you can use SOH or the sin of the angle is equal to the opposite over the hypotenuse.
side a
Sin 34 deg = ------------ simplifying you get Side a = (sin 34 deg) x 13m
13 m
Answer rounded to nearest whole number is 7 m