Suppose ABC Is a Right Triangle with Sides of Lengths $\tan B$

question 56

Multiple Choice

Suppose ABC is a right triangle with sides of lengths a, b, and c and right angle at C. Find the unknown side length
using the Pythagorean theorem and then find the value of the indicated trigonometric function of the given angle.
Rationalize the denominator if applicable.
-Find $\tan B$ when $b = 3$ and $c = 4$ .

• A) \(\frac { \sqrt { 7 } } { 3 }\)
• B) \(\frac { 4 \sqrt { 7 } } { 7 }\)
• C) \(\frac { \sqrt { 7 } } { 4 }\)
• D) \(\frac { 3 \sqrt { 7 } } { 7 }\)

---

Definitions:

One Year

A period of time that consists of 12 consecutive months.

Metabolism Decreases

The process by which the body’s ability to convert food and drink into energy slows down, typically as part of aging.

Ages 20

Refers to the period of life known as early adulthood, significant for its transitions in physical, emotional, and social development.

Ages 60

Refers to individuals who are in the sixtieth year of their life or the decade of life from 60 to 69 years old, often considered the early years of old age.