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raketka [301]
3 years ago
14

Use the diagram of the right triangle above and round your answer to the nearest hundredth.

Mathematics
2 answers:
yan [13]3 years ago
8 0

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.

Vanyuwa [196]3 years ago
4 0

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

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