Question

44° 6 Find the value of x to the nearest tenth.

Answer 1

Given:

Angle = 44 degrees.

Adjacent side = 6 units.

Hypoteuse side = x units

Recall the formula for cosine,

`\cos \theta=\frac{Adjacent\text{ side}}{\text{Hypoteuse side}}`

Substitute Adjacent side = 6 units, Hypoteuse side =x units and angle =44, we get

`\cos 44^o=(6)/(x)^{}`
`\text{ Use }\cos 44^o=0.719.`

`0.179=(6)/(x)^{}`
`x=(6)/(0.179)`
`x=8.34`

Round off, we get

`x=8.3\text{ units}`

Hence the value of x is 8.3 units.