Question

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

Answer 1

option C

Explanation:

We have to find the value of x

`tan\theta=(perpendicular side)/(base)`

`tan60^(\circ)=(height)/(26)`

We know that
`tan60^(\circ)=\sqrt3`

`\sqrt3=(height)/(26)`

`height=1.732* 26`

Where
`\sqrt3=1.732`

Height=45.032

Height=45.0

`cos\theta=(bas)/(hypotenuse)`

`cos 39^(\circ)=(45)/(x)`

`0.777=(45)/(x)`

`x=(45)/(0.777)`

x=57.9

Hence, option C is true.

Answer 2

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