Question

which method should I use to find the missing angle in the triangle? the following methods to choose from can include Law of Sines, Law of Cosine, SOH-COH-TOA, and inverse tangent. after picking a method that applicable to solving the missing angle round to the nearest whole degree!

Answer 1

From the given figure

The opposite side to x is AB

The adjacent side to x is BC

To find x we will use TOA

`\tan x=(AB)/(BC)`

AB = 3 cm

BC = 4 cm

`\tan x=(3)/(4)`

To find x we will use the inverse of tan

`x=\tan ^(-1)((3)/(4))`

By using the calculator

x = 36.86989765

Round it to the nearest degree

x = 37 degrees