Question

1.) In the previous problem which of the following is m<b

A:30
B:45
C:55
D:60


2.: Find the value of X, round to the nearest tenth.
A:16.4
B:14
C:11.5
D:34.9

Answer 1

a and d a for the first one d for the second one

Answer 2

Explanation:

(1) From the given figure, it is given that
`AC=8`,
`AB=16` and
`CB=8√(3)`, thus using the trigonomtery, we have

`(AC)/(AB)=sinB`

⇒
`(8)/(16)=sinB`

⇒
`(1)/(2)=sinB`

⇒
`B=sin^(-1)((1)/(2))`

⇒
`B=30^(\circ)`

therefore, the measure of the angle B is 30°.

Hence, option A is correct.

(2) From the given figure, using the trigonometry, we have

`(x)/(20)=sin35^(\circ)`

⇒
`x=20{*}sin35^(\circ)`

⇒
`x=20{*}0.573`

⇒
`x=11.5`

Thus, option C is correct.