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

Answer:

Step-by-step explanation:

(1) From the given figure, it is given that $AC=8$, $AB=16$ and $CB=8\sqrt{3}$, thus using the trigonomtery, we have

$\frac{AC}{AB}=sinB$

⇒$\frac{8}{16}=sinB$

⇒$\frac{1}{2}=sinB$

⇒$B=sin^{-1}(\frac{1}{2})$

⇒$B=30^{\circ}$

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

Hence, option A is correct.

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

$\frac{x}{20}=sin35^{\circ}$

⇒$x=20{\times}sin35^{\circ}$

⇒$x=20{\times}0.573$

⇒$x=11.5$

Thus, option C is correct.