Part a) find the length of side B to two decimal places
we know that sin 25=opposite side angle 25/hypotenuse opposite side angle 25=b hypotenuse=25 so sin 25=b/25-----> b=25*sin 25-----> b=10.565-----> b=10.57
the answer Part a) is b=10.57
Part b) Find the length of side a in three different ways 1) using cos 25 cos 25=adjacent side angle 25/hypotenuse adjacent side angle 25=a hypotenuse=25 so cos 25=a/25-----> a=25*cos 25----> a=22.66
2) using tan 25 tan 25=opposite side/adjacent side tan 25=b/a-----> a=b/tan 25----> a=10.57/tan 25----> a=22.66
3) using Pythagoras theorem we know that hypotenuse²=a²+b²----> a²=hypotenuse²-b²----> a²=25²-10.57² a²=513.275-----> a=20.66
The other answer did great but I will correct that in Part 2 Pythagorean Theorem Method the user said 20.66 instead of 22.66. The correct answer is 22.66
