Middle School

We appreciate your visit to Find the length of the side labeled x Round intermediate values to the nearest tenth Use the rounded values to calculate the next value Round. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!

Find the length of the side labeled x. Round intermediate values to the nearest tenth. Use the rounded values to calculate the next value. Round your final answer to the nearest tenth.

A. 69.4

B. 61.1

C. 57.9

D. 36.9

Find the length of the side labeled x Round intermediate values to the nearest tenth Use the rounded values to calculate the next value Round

Answer :

Answer:

Step-by-step explanation:

Givens

Tan(60) = opposite / adjacent

adjacent = 26

Cos(39) = adjacent / hypotenuse

Solution

Tan(60) = opposite (which is the height) / 26 Multiply both sides by 26

26*tan(60) = opposite Multiply the left.

tan60 = 1.732

26 * 1.732 = opposite

45.033

====================

Cos(39) = adjacent / hypotenuse

cos(39) = 0.7771

0.7771 = 45.0333 / x Multiply both sides by x

0.7771*x = 45.0333 Divide by 0.7771

x = 45.0333 / 0.7771

x = 57.94

Thanks for taking the time to read Find the length of the side labeled x Round intermediate values to the nearest tenth Use the rounded values to calculate the next value Round. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!

Rewritten by : Barada

Answer:

option C

Step-by-step explanation:

We have to find the value of x

[tex]tan\theta=\frac{perpendicular side}{base}[/tex]

[tex]tan60^{\circ}=\frac{height}{26}[/tex]

We know that [tex] tan60^{\circ}=\sqrt3[/tex]

[tex]\sqrt3=\frac{height}{26}[/tex]

[tex]height=1.732\times 26[/tex]

Where [tex]\sqrt3=1.732[/tex]

Height=45.032

Height=45.0

[tex]cos\theta=\frac{bas}{hypotenuse}[/tex]

[tex] cos 39^{\circ}=\frac{45}{x}[/tex]

[tex]0.777=\frac{45}{x}[/tex]

[tex]x=\frac{45}{0.777}[/tex]

x=57.9

Hence, option C is true.