Alright, lets get started.
A right triangle (triangle 1) has a hypotenuse length of 115 mm and α = 31.2°. What are the measurements for a, b, and β?
Please refer the diagram I have attached.
Using SOH CAH TOA,
Plugging the value of sin 31.2
mm
Similarly,
Plugging the value of cos 31.2
mm
Now, for angle β
tan β =
tan β = 1.65
Using tan inverse
β = 58.78°
So, the answer is a = 98.36 mm, b = 59.57 mm and β = 58.78° : Answer
Hope it will help :)
A right triangle (triangle 1) has measurements of a = 505 mm and b = 286 mm. What are the measurements for c, α, and β?
Please refer the diagram I have attahced.
a and b are given, we could side c by using Pythagorean theorem.
Taking square root on both sides
c = 580.36 mm
Using SOH CAH TOA,
tan α =
taking tan inverse
α = 60.48°
Similarly,
tan β =
taking tan inverse
β = 29.52°
So, the answer is c = 580.36 mm, α = 60.48° and β = 29.52° : Answer
Hope it will help :)
