Question

Find \tan(\alpha)tan(α)tangent, left parenthesis, alpha, right parenthesis in the triangle.

Choose 1 answer:

Choose 1 answer:


(Choice A)

A

\dfrac{24}{7}

7

24

​

start fraction, 24, divided by, 7, end fraction


(Choice B)

B

\dfrac{7}{24}

24

7

​

start fraction, 7, divided by, 24, end fraction


(Choice C)

C

\dfrac{24}{25}

25

24

​

start fraction, 24, divided by, 25, end fraction


(Choice D)

D

\dfrac{7}{25}

25

7

​

start fraction, 7, divided by, 25, end fraction

ANSWER IS: A) 24/7

Answer 1

Complete Question

Given the right triangle(SEE ATTACHED), find tan(α)

Answer:

(A) $\tan(\alpha)=\dfrac{24}{7}$

Step-by-step explanation:

In the given right triangle,

From Trigonometry, we know that:

$\tan(\alpha)=\dfrac{Opposite}{Adjacent}$

We determine the unknown side using Pythagoras theorem.

Let the unknown side be x

$25^2=24^2+x^2\\x^2=25^2-24^2\\x^2=49\\x^2=7^2\\x=7 units$

Therefore:

$\tan(\alpha)=\dfrac{24}{7}$

The correct option is A

Answer 2

Answer:

ITS 7/25

Step-by-step explanation: