ruthannpearce2021
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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 your final answer class=

Respuesta :

jcherry99

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

lublana

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.

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