Suppose ABC Is a Right Triangle with Sides of Lengths $\cos \mathrm { A }$

question 171

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 $\cos \mathrm { A }$ when $\mathrm { a } = \sqrt { 5 }$ and $\mathrm { c } = 14$ .

• A) \(\frac { 191 } { 5 }\)
• B) \(\frac { 5 } { 14 }\)
• C) \(\frac { \sqrt { 5 } } { 14 }\)
• D) \(\frac { \sqrt { 191 } } { 14 }\)

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Definitions:

Economies of Scale

The cost advantage that arises with increased output of a product due to spreading fixed costs over more units of production.

Minimum Efficient Scale

The smallest level of production a firm can achieve while still taking full advantage of economies of scale regarding costs per unit.

Economies of Scale

The cost advantages that enterprises obtain due to their scale of operation, leading to a reduction in average costs with increased output.