Question

Find the measure of x.26x = [?Round to the nearest hundredth.X78°

Answer 1

To answer this question we will use the trigonometric function cosine.

Recall that in a right triangle:

`\cos\theta=(AdjacentLeg)/(Hypotenuse).`

Using the given diagram we get that:

`\cos78^(\circ)=(x)/(26).`

Multiplying the above result by 26 we get:

`\begin{gathered} 26*\cos78^(\circ)=26*(x)/(26), \\ 26\cos78^(\circ)=x. \end{gathered}`

Therefore:

`x\approx5.41.`

Answer:

`x=5.41.`