Question

PLEASE HELP ASAP!!! I NEED CORRECT ANSWERS ONLY PLEASE!!!

Answer 1

Answer:

$cos(V)=\frac{39}{89}=.44$

∠$V=64.01$°

Step-by-step explanation:

$sin(angle)=\frac{opposite}{hypotenuse}$

$cos(angle)=\frac{adjacent}{hypotenuse}$

$tan(angle)=\frac{opposite}{adjacent}$

• The cosine of an angle is equal to the side adjacent to the angle over the hypotenuse, the longest side.

• With this in mind:

$cos(V)=\frac{39}{hypotenuse}$

• We need to find the hypotenuse of this triangle. This is relativly easy to do with a right triangle; we can just use the Pythagorean Theorem.
• Pythagorean Theorem: $a^2+b^2=c^2$  where $a$, $b$, and $c$ are the 3 different sides of a right triangle.

$a^2+b^2=c^2\\(39)^2+(80)^2=c^2\\1521+6400=c^2\\c=\sqrt{7921} \\c=89$

• Our hypotenuse is $89$. Now we can finish solving for ∠$V$.

$cos(V)=\frac{39}{89}\\V=cos^-^1(\frac{39}{89})$

∠$V=64.01$°