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deff fn [24]
3 years ago
15

To determine the height of a television tower, a person stands 135 ft from its base and determines the angle of elevation to the

top of the tower to be 38 degrees. What is the height of the tower?
Mathematics
1 answer:
Ipatiy [6.2K]3 years ago
7 0

Answer:

  105.5 ft

Step-by-step explanation:

The tangent ratio is the ratio of the side opposite an angle to the adjacent side in a right triangle. Here, the side opposite the angle is the tower height, and the adjacent side is the distance to the tower. Then the appropriate relationship is ...

  tan(38°) = (tower height)/(135 ft)

Multiplying by the denominator gives ...

  tower height = (135 ft)·tan(38°) ≈ 105.473 ft

The height of the tower is about 105.5 feet.

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Solve for x:<br> (5x + 9)<br> (8x - 30)
Alik [6]

Answer:

112x-420

Step-by-step explanation:

(5x + 9)  (8x - 30)

distribute 5x into (8x-30)

then same with 9 into (8x-30)

then combine like terms and u will get da answer

hope this helps with da pic dat i attach  

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4 0
3 years ago
A washer and a dryer cost $664 combined. The washer costs $86 less than the dryer. What is the cost of the dryer?
andreyandreev [35.5K]

Answer:

The dryer is 375 dollars

Step-by-step explanation:

The equation would be

664=(D)+(D-86) or

664=(375)+(375-86)

4 0
2 years ago
Which of the following is another way to show the ratio 13 to 27?
Alisiya [41]
Another ratio of 13:27 is to write it as a fraction. This is to mean;
\frac{13}{27}
7 0
3 years ago
Can someone please help me with this math question
inn [45]

Answer:

1. reflection across x-axis

2. translation 6 units to the right and 3 units up (x+6,y+3)

Step-by-step explanation:

The trapezoid ABCD has it vertices at points A(-5,2), B(-3,4), C(-2,4) and D(-1,2).

First transformation is the reflection across the x-axis with the rule

(x,y)→(x,-y)

so,

  • A(-5,2)→A'(-5,-2)
  • B(-3,4)→B'(-3,-4)
  • C(-2,4)→C'(-2,-4)
  • D(-1,2)→D'(-1,-2)

Second transformation is translation 6 units to the right and 3 units up with the rule

(x,y)→(x+6,y+3)

so,

  • A'(-5,-2)→E(1,1)
  • B'(-3,-4)→H(3,-1)
  • C'(-2,-4)→G(4,-1)
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7 0
3 years ago
2. Saul invested an average of $425 per month since age 30 in various securities for his
BabaBlast [244]

Answer:

$507.30

Step-by-step explanation:

-Given the monthly deposits are $425 and the interest rate is 3.5% for 30 years.

-The amount of the investment after 30 years is calculated as;

A=P(1+i/n)^n, n=time \ in \ months\\\\=425(1+0.035/12)^{30\times 12}\\\\=1212.65

-Assuming Saul started saving at age 20, his investment term will be 40 yrs.

-His investment amount is thus:

A=P(1+i/n)^n, n=time \ in \ months\\\\=425(1+0.035/12)^{40\times 12}\\\\=1719.95

#We subtract to find how much more he would have if he started saving at 20;

=A_{20}-A_{30}\\\\=1719.95-1212.65\\\\=507.30

Hence, Saul would have $507.30 more had he started saving 10 years earlier.

5 0
3 years ago
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