Solve for side lengths a through f Round values to nearest w

Solve for side lengths a through f. Round values to nearest whole number. a almostequalto _____, b almostequalto _____, c almostequalto _____, d almostequalto _____, e almostequalto _____, f almostequalto _____

Solution

Solution
First triangle is right triangle and angle is = 37 and lenght of hypotenuse = 10

therefore

cos(37) =a/10

a = 10 cos(37)

Sin(37) = b/10

b = 10sin(37)

Second triangle is right triangle and angle is = 71 and lenght of Base = 12

therefore

Cos(71) = 12/d

d= 12/cos(71)

sin(71) = c/d

c= 12 tan(71)

Third triangle is right triangle and angle is = 28 and lenght of Height = 8

therefore

sin(28) = 8/f

f= 8/sin(28)

cos(28) =e/f

e= 8 tan(28)