Question

Find the value of x. Round answer to nearest tenth.

Answer 1

Answer:

The value of x is 12.1

Step-by-step explanation:

To find the value of x, we will just apply the formula of trigonometric ratio;

SOH CAH TOA

sin Ф = opposite/ hypotenuse

cos Ф = adjacent / hypotenuse

tan Ф  = opposite / adjacent

From the diagram given, since we are working with angle 48 then opposite is 9 and hypotenuse is x

Ф =48°      opposite = 9 and hypotenuse = x

The best formula to use is;

sin Ф = opposite/ hypotenuse

sin 48°   =  $\frac{9}{x}$

cross-multiply

x sin 48°  = 9

Divide both-side by sin 48°

x sin 48°  / sin 48°   =  9/sin48°

x = 9/sin 48°

 =12.11069

x ≈12.1 to the nearest tenth

Therefore the value of x is 12.1