Answer: B, the are parallel but not equal. They are parallel line because they move in the same direction and they are not equal because they have different magnitude.

6 0

3 years ago

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The angle of elevation to the top of a water tower from point A on the ground is 19.9°. From point B, 50.0 feet closer to the to

zepelin [54]

Answer:

Answer in terms of a trigonometric function :

$h = \frac{20tan(19.9)}{0.4-tan(19.9)}$

Answer in figures

$h = 190.5 feet$

Step-by-step explanation:

Consider the sketch attached below to better understand the problem.

Let x be the distance between point B and the base of the water tower.

$tan (19.9)=\frac{h}{50+x} ---------------equation 1\\$

$tan (21.8)=\frac{h}{x}----------------equation 2$

From equation 2,

$x =\frac{h}{tan21.8}=\frac{h}{0.4}$

substituting the value of x into equation 1, we get

$tan (19.9)=\frac{h}{50+(\frac{h}{0.4} )}$

$tan 19.9=h\times \frac{0.4}{20+h}$

cross multiplying,

$20\times tan(19.9) +htan(19.9)=0.4h$

$20tan(19.9)= h(0.4-tan(19.9))$

$h= \frac{20tan (19.9)}{0.4-tan (19.9)}$

The height of the tower is $h= \frac{20tan (19.9)}{0.4-tan (19.9)}$ in terms of the trig function "Tan"

The equation can simply be evaluated to get the answer in figures since the angles are given in the question

5 0

3 years ago

Write the standard equation of the circle with center (1,2) and radius of 2

MrMuchimi

Answer:

(x – h)2+ (y – k)2 = r2

Step-by-step explanation:

3 0

3 years ago

The commission on the sale of a property is 4.5% of the value. What is the commission on the sale of a property that has a value

Lilit [14]

Answer:

$877.50

Step-by-step explanation:

1. Multiply the value by the percentage.

19,500 x 4.5% = $877.50

This is the amount of the commission.

6 0

3 years ago