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3 years ago

Type the height of the ramp (h), in inches. Round your answer to the nearest whole inch.

Mathematics

1 answer:

sveta [45]3 years ago

3 0

Answer:

49 inches

Step-by-step explanation:

To obtain the height, h of the ramp ;; we use trigonometry ;

h = opposite and the value of the hypotenus :

Sin θ = opposite / hypotenus

Sin 22 = h / 132

h = 132 * sin 22

h = 132 * 0.3746065

h = 49.44

Height of ramp = 49 inches

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On a number line, A is at 5 and B is at 50. Point X is the midpoint. Point T is 2/3 of the way from X to B. Determine the coordi

Lemur [1.5K]

Number lines are used to represent points at regular interval.

The coordinate of point T on the number line is: 46.5

Given that:

$A =5$

$B = 50$

The coordinate of X at the midpoint is:

$X = \frac{B + A}{2}$

So, we have:

$X = \frac{50+5}{2}$

$X = \frac{55}{2}$

$X = 27.5$

Point T is at 2/3 from X to B.

The coordinate of T is calculated using:

$T = X + \frac 23 (B - X + 1)$

So, we have:

$T = 27.5 + \frac 23 (55 - 27.5 + 1)$

$T = 27.5 + \frac 23 (28.5)$

$T = 27.5 + 19$

$T = 46.5$

<em>Hence, T is located at 46.5</em>