Question

Write 2 expressions that canbe used to find the value of x.

Answer 1

The Solution.

By Trigonometrical Ratios, we have,

SOH, CAH, TOA

Where S

Where in the case at hand,

H = 11

To find the value of x in the given problem,

Taking 25 degrees as our angle of interest, we have,

`\begin{gathered} \cos 25=(Adj)/(Hyp)=(x)/(11) \\ \\ \cos 25=(x)/(11) \\ \text{Cross multiplying, we get} \\ x=11\cos 25 \end{gathered}`

One of the required expressions is:

`x=11\cos 25^o`

Similarly, taking 65 degrees as the angle of interest, we have

`\begin{gathered} \sin 65=(opp)/(Hyp)=(x)/(11) \\ \\ \sin 65=(x)/(11) \\ \text{Cross multiplying, we get} \\ x=11\sin 65 \end{gathered}`

The other required expression for finding x is:

`x=11\sin 65^o`

The correct answers are;

x = 11 sin 65 degrees

x = 11 cos25 degrees