Question

Select the correct answer from each drop down menu. In the figure, AB=__inches and AC=___

Answer 1

Answer: In the figure AB is about 8.4 inches and AC is about 13.05 inches.

Step-by-step explanation: We can use cosine to find the hypotenuse. $cos(40)=\frac{10}{x} \\cos(40) (x)=\frac{10}{x}(x)\\cos(40) (x) =10\\\frac{cos(40) (x)}{cos (40)} =\frac{10}{cos (40)} \\x=\frac{10}{cos(40)}$

Using a calculator x is about 13.05

Using tangent we can find the length opposite of <C

$tan(40)=\frac{x}{10} \\tan(40) (10)=\frac{x}{10}(10)\\tan(40) (10) = x$

Using a calculator x would be about 8.4

Answer 2

Answer:

Step-by-step explanation: