Complete Question
Given the right triangle(SEE ATTACHED), find tan(α)
Answer:
(A) [tex]\tan(\alpha)=\dfrac{24}{7}[/tex]
Step-by-step explanation:
In the given right triangle,
From Trigonometry, we know that:
[tex]\tan(\alpha)=\dfrac{Opposite}{Adjacent}[/tex]
We determine the unknown side using Pythagoras theorem.
Let the unknown side be x
[tex]25^2=24^2+x^2\\x^2=25^2-24^2\\x^2=49\\x^2=7^2\\x=7$ units[/tex]
Therefore:
[tex]\tan(\alpha)=\dfrac{24}{7}[/tex]
The correct option is A
