For triangle abc angle a = 36 angle b = 71 and side c = 13 find side a to the nearest whole number.

45.7

Step-by-step explanation:

Hello there!

We can calculate the missing angle using trigonometry

here are the trigonometric ratios

sin = opposite over hypotenuse

cos = adjacent over hypotenuse

tan = opposite over adjacent

We are given x's opposite side length (8) and x's adjacent side length (7.8)

we are given the information to use the trigonometric ratio tangent

so now we create an equation (remember tan - opposite over tangent)

now we solve for x

we're left with

finally we want to get rid of the tan

To do so we take the inverse of tan (arctan^-1) and apply it to each side

so x = 45.7252243

finally we round to the nearest tenth and get that the answer is

45.7