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padilas [110]
3 years ago
14

Help please :)

Mathematics
1 answer:
Leokris [45]3 years ago
4 0
The answer is b good luck
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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
Fill in the table using this function rule.<br> y=25-2x
marissa [1.9K]

Answer:(1,23)(2,21)(4,17)(6,13)

Step-by-step explanation:

Plug in the x values in the graph to the function. For example plug in 2 to it and you get 25-2(2) which transfers to 25-4. 25-4 equals 21

8 0
3 years ago
Simplify the fraction <br><br> (9x² - 12x +4/ 3x²+ x - 2) ÷ (12x² - 5x - 2 / 4x²+5x + 1)
solmaris [256]
When simplified, the answer is 1
5 0
3 years ago
6(3b-5) b=5<br>is the value 60​
Andrews [41]

Answer:

Yes

Step-by-step explanation:

6((3×5)-5)

6(15-5)

6(10)

60

Hope this helps!! :)

7 0
3 years ago
Tammy will rent a car for the weekend. She can choose one of two plans. The first plan has no initial fee but costs 0.70 per mil
tensa zangetsu [6.8K]
This problem is about linear equations. We assume Dale drive X miles, and the total cost is $Y, then we can get:
Plan I: Y=38+0.11X
Plan II: Y=49+0.07X
When both plans cost the same, 38+0.11X=49+0.07X. We will get X = 275miles, and Y=$68.25
7 0
3 years ago
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