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

The value of b is 4 cm.

c is the correct option.

Explanation:

From the given diagram, we have

`\tan A=(BC)/(AC)\\\\\tan A=(a)/(b)`

Now, given that

a = 3 cm

tan A = 0.75

On substituting these values, we get

`0.75=(3)/(b)`

Cross multiplying, we get

`0.75b=3`

Divide both sides by 0.75

`b=(3)/(0.75)\\\\b=4`

The value of b is 4 cm.

c is the correct option.