Two Sides of a Right Triangle ABC (C Is the Right

question 25

Multiple Choice

Two sides of a right triangle ABC (C is the right angle) are given. Find the indicated trigonometric function of the given
angle. Give exact answers with rational denominators.
-Find $\tan \mathrm { B }$ when $\mathrm { a } = 4$ and $\mathrm { b } = 5$ .

• A) \(\frac { 5 \sqrt { 41 } } { 41 }\)
• B) \(\frac { 4 \sqrt { 41 } } { 41 }\)
• C) \(\frac { 4 } { 5 }\)
• D) \(\frac { 5 } { 4 }\)

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Definitions:

Total Force

The sum of all forces acting on an object, determining the object's acceleration according to Newton's second law.

Right-Hand Rule

A mnemonic device used to determine the direction of certain vectors in physics, notably in electromagnetism, where the thumb, index, and middle finger each represent different vectors.

North Pole

One of the two points on the Earth where the planet's magnetic field lines converge, historically thought of as the top of the magnetic field.

Electromagnet

A type of magnet whose magnetic field is produced by the flow of electric current, typically wrapped around a core of ferromagnetic material.