Question

Find x to the nearest hundredth.

7.73 cm


8.12 cm


20.46 cm


23.78 cm

Answer 1

23.78

Explanation:

CAH

x/25

cos18=x/25

25cos18=x

x=23.78

Answer 2

23.78 cm

Explanation:

Since, We know that,

In a right angle triangle,

`cos \theta=(B)/(H)`

Where, B represents base adjacent to
`\theta`

H represents the hypotenuse adjacent to
`\theta`

Thus, by the given diagram,

`cos 18^(\circ)=(x)/(25)`

`\implies x = 25* cos 18^(\circ)=23.7764129074\approx 23.78\text{ cm}`

Hence, Last option is correct.