Question

There s 2 different pictures that need two different answers

Find the value of x for both. Since we are finding the lengths of sides, round to the nearest tenth.

Answer 1

x = 14.6

x = 6.4

Explanation:

Trig identities:

`sin(x)=(O)/(H) \ \ \ \ \ cos(x)=(A)/(H) \ \ \ \ \ tan(x)=(O)/(A)`

where

• x = angle
• O = side opposite the angle
• A = side adjacent the angle
• H = hypotenuse

`sin(55)=(12)/(x)\\\\\implies x=(12)/(sin(55))\\\\\implies x=14.6`

`tan(62)=(12)/(x)\\\\\implies x=(12)/(tan(62))\\\\\implies x=6.4`