Answer:
1) x = 4.721559618
2) x = 38.69059499
3) x = 56.44269024
4) x = 13.50132272
Explanation:
We have to use the term SOHCAHTOA which stands for:
sin(Ø) = opposite / hypotenuse
cos(Ø) = adjacent / hypotenuse
tan(Ø) = opposite/adjacent.
Key:
Ø = angle
1. we use tan because we know the adjacent side length and we need to work out the opposite side length
so we do tan(34) = x/7
now we need to get x on its own. so we do tan(34)*7 = x
type into the calculator tan(34)*7
= 4.721559618
2. we use cos because we know the adjacent side length and we need to work out the hypotenuse length.
so we have to do cos(17) = 37/x
now we get x on its own. we do x*cos(17) = 37
then x = 37 / cos(17)
x = 38.69059499
3. we use sin because we know the hypotenuse length and opposite length.
sin(x) = 10/12
get x on its own.
x = sin^-1(10/12)
x = 56.44269024
4. we use cos because we know the adjacent side length and we need to work out the hypotenuse length.
cos (61) = 8/x
get x on its own.
x*cos(61) = 8
x = 8/cos(61)
x = 16.50132272