Question

Use the diagram of the right triangle above and round your answer to the nearest hundredth.
If a is 3 cm and tan A is 0.75, what is b?
a.
17.32 cm
c.
4 cm
b.
6.93 cm
d.
9.99 cm

Answer 1

the answer is C , hope it helps:)

Answer 2

Answer:

The value of b is 4 cm.

c is the correct option.

Step-by-step explanation:

From the given diagram, we have

$\tan A=\frac{BC}{AC}\\\\\tan A=\frac{a}{b}$

Now, given that

a = 3 cm

tan A = 0.75

On substituting these values, we get

$0.75=\frac{3}{b}$

Cross multiplying, we get

$0.75b=3$

Divide both sides by 0.75

$b=\frac{3}{0.75}\\\\b=4$

The value of b is 4 cm.

c is the correct option.