Question

Find the value of x round to the nearest tenth

Answer 1

x = 80.4

Explanation:

`Opposite = x\\Adjacent = 300\\\alpha =15\\Using \: SOHCAHTOA\\\\Tan \alpha = (Opposite)/(Adjacent) \\\\Tan 15 =(x)/(300) \\\\2-√(3) = (x)/(300)\\\\ 2-√(3) * 300=x\\\\80.384=x\\\\x = 80.4`

Answer 2

x = 80.4

Explanation:

Step 1: Realize you have to use tangent to solve

`tan()=(o)/(a)`

Step 2: Use tangent to solve

o = x

a = 300

`tan()=(o)/(a) \\tan(15)=(x)/(300)\\x = 300tan(15)\\x = 80.4`

Therefore x is equal to 80.4 rounded to the nearest tenth