What is the height of each story

Mathematics

1 answer:

Nitella [24]3 years ago

6 0

Answer:

x = 10 ft, or each story is 10 ft tall

Step-by-step explanation:

We know that the house is 26 ft tall. We also know that the attic is 6 ft tall. We also know that there are two stories, and that they are the same height as one another (since each story is x tall). In math form, this is:

6 + x + x = 26

Combine like terms

6 + 2x = 26

Subtract 6 from each side

2x = 20

Divide each side by 2

x = 10

Our final answer^^

Brainliest please maybe??

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Solve for x. Round to the nearest tenth, if necessary.

e-lub [12.9K]

Answer:

$\boxed {\boxed {\sf x \approx 1.9}}$

Step-by-step explanation:

We are asked to find x, a missing side in a triangle.

This is a right triangle because there is a small square in the corner representing a 90 degree or right angle. Therefore, we can use right triangle trigonometry. The three main functions are:

sinθ= opposite/hypotenuse
cosθ= adjacent/hypotenuse
tanθ= opposite/adjacent

Examine the triangle. We will use angle S, measuring 54 degrees, for theta. Side QR, measuring x, is opposite angle S. Side QS, measuring 2.3, is the hypotenuse because it is opposite the right angle. Since we have the opposite and hypotenuse, we will use sine.

$sin \theta = \frac {opposite}{hypotenuse}$

θ= 54
opposite= x
hypotenuse = 2.3

$sin (54)= \frac{ x}{2.3}$

We are solving for x, so we must isolate the variable. It is being divided by 2.3 The inverse operation of division is multiplication, so we multiply both sides by 2.3

$2.3* sin (54)= \frac{x}{2.3}*2.3$