Question

1. find the missing side length of the figure below. (nearest tenth)

1. solve for x. (nearest tenth)

1. find the values of x and y. (radical form)

1. find the values of x and y.

1. find the values of x and y.

1. find the values of x and y. (radical form)

1. in a computer catalog, a computer monitor is listed as being 19 inches. this distance is the diagonal distance across the screen. if the screen measures 10 inches in height, what is the actual width of the screen to the nearest inch? (use a calculator to help you with this.)

1. a man is flying a kite with his hand 1.4 m above the ground as shown in the diagram below. how far above the ground is the kite? round answer to the nearest tenth of a meter.

Explanation:

Solve Question 1

Using the Pythagorean theorem:

$$
LATEXBLOCK0
$$

Solve Question 2

Using the Pythagorean theorem:

$$
LATEXBLOCK1
$$

Solve Question 3

Using the properties of a \(45^\circ\)-\(45^\circ\)-\(90^\circ\) right triangle:

$$
LATEXBLOCK2
$$

Solve Question 4

Using the properties of a \(45^\circ\)-\(45^\circ\)-\(90^\circ\) right triangle:

$$
LATEXBLOCK3
$$

Solve Question 5

Using the properties of a \(45^\circ\)-\(45^\circ\)-\(90^\circ\) right triangle:

$$
LATEXBLOCK4
$$

Solve Question 6

Using the properties of a \(45^\circ\)-\(45^\circ\)-\(90^\circ\) right triangle:

$$
LATEXBLOCK5
$$

Solve Question 7

Using the Pythagorean theorem:

$$
LATEXBLOCK6
$$

Solve Question 8

Using the Pythagorean theorem to find \(x\), then adding the height of the hand:

$$
LATEXBLOCK7
$$

Answer:

Question 1

\(7.9\text{ cm}\)

Question 2

\(9.2\text{ cm}\)

Question 3

\(x = 11\sqrt{2}\), \(y = 11\)

Question 4

\(x = 14\), \(y = 7\sqrt{2}\)

Question 5

\(x = 3\), \(y = 3\)

Question 6

\(n = \frac{13\sqrt{2}}{2}\), \(m = \frac{13\sqrt{2}}{2}\)

Question 7

\(16\text{ inches}\)

Question 8

\(15.2\text{ m}\)