Question

Use the diagram of the right triangle above and round your answer to the nearest hundredth.
If b is 23 ft and tan A is 1.0, what is a?
a. 23 ft
C. 4 ft
b. 14 ft
d. 6.93 ft

Answer 1

Option A:

a = 23 ft

Solution:

The given triangle is right triangle.

The value of tan A = 1.0

b = 23 ft

Using trigonometric formula,

 $\tan \theta=\frac{\text { Opposite side }}{\text { Adjacent side }}$

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

Substitute the value of tan A and b.

 $1.0=\frac{a}{23}$

Do cross multiplication, we get

1.0 × 23 = a

23 = a

Switch the sides

a = 23 ft

The length of a is 23 ft.

Hence option A is the correct answer.

Answer 2

Answer: twenty-three feet

Step-by-step explanation:

We already have some givens. It's right triangle, the value of tan is A = 1.0  and b = 23 ft. So use the formula tanθ=opposite/adjacent.

1=a/23, now use cross multiplication.

1*23=a

23=a

a=23 feet