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svetoff [14.1K]
2 years ago
10

From a distance of 110 m, the angle of elevation to the top spire of a tower is 35°.

Mathematics
1 answer:
Nady [450]2 years ago
3 0

Answer:

  77 m

Step-by-step explanation:

The geometry can be modeled by a right triangle. The distance from the viewpoint to the base of the tower is 110 m, the leg of the triangle adjacent to the angle. The height of the spire is the leg of the triangle opposite the given angle. The relevant trig relation is ...

  Tan = Opposite/Adjacent

__

Using the given numbers, we find ...

  tan(35°) = height/(110 m)

  height = (110 m)tan(35°) = (110 m)×0.700208 ≈ 77.0 m

The height of the tower is about 77 meters.

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Marcus is 5 19/24 feet tall. Ben is 5 9/16 feet tall. Which of the two boys is taller?
Ksju [112]

well, Marcus and Ben are both 5 feet tall and a little bit more, Marcus is 19/24 more and Ben is 9/16 more, so the 5's in the fraction are the same, so which one is larger, 19/24 or 9/16?

we can simply put both fractions with the same denominator, by <u>multiplying one by the other's denominator</u>, so let's proceed,

\bf \stackrel{\textit{\large Marcus is taller}}{5~feet + \left( \cfrac{19}{24}\cdot \cfrac{16}{16}\implies \boxed{\cfrac{304}{384}} \right)}\qquad \qquad \qquad \stackrel{\textit{\large Ben}}{5~feet + \left( \cfrac{9}{16}\cdot \cfrac{24}{24}\implies \boxed{\cfrac{216}{384}} \right)}

4 0
3 years ago
You were billed $17.60 for water usage at a rate of $0.55 per gallon. Three choices are correct ways to calculate the the number
nalin [4]

We know that total bill = rate per gallon times numbers of gallons used

So 17.60 = 0.55 times g

which get match to option (a) this is correct .

Now if we divide both sides by 0.55 we would be getting :

17.60 / 0.55 = g which is slightly different than option (b) ( because it is 55 in option b but actually it should be 0.55) so this one is incorrect .

let us now come back to option (a) 17.6 = 0.55 g

if flip the sides it becomes 0.55g = 17.6 which is same as option c option c is also correct .

Let us now divide both sides of option a by g^2 which makes it

17.6/ g^2 = 0.55 /g or 0.55/g = 17.6 /g^2 which matches only left side of option d but not right side of it so this is also not a correct option

Answer : only (a) and c are correct answer .

3 0
3 years ago
Read 2 more answers
What is 8/35 pls help me
Rus_ich [418]
As a decimal it is 0.2285714
THE NUMBERS AFTER THE DECIMAL NEED A LINE OVER THEM. They keep repeating themselves. Have a good one babes.
6 0
3 years ago
M
telo118 [61]

Answer:

35643

Step-by-step explanation:

M

(3x+20)

H (x+25)°

N

(x+20)

K

What is the measure of ZJHN?

25°

45°

50°

O95°

4 0
2 years ago
Help on 13-15 please.
elena55 [62]
13).
(600 ft / 5 min) x (1min / 60sec)

= (600 · 1 / 5 · 60) (ft · min / min · sec)

= 2 ft/sec
______________________________

14).
(120 yd / 2 min) x (3ft / 1yd) x (1min /60 sec)

= (120 · 3 · 1 / 2 · 1 · 60) (yd · ft · min / min · yd · sec)

= 3 ft/sec
__________________________________

15).
(60 mile /1 hour) x (5,280ft / 1mile) x (1hr / 3,600sec)

= (60 · 5,280 · 1 / 1 · 1 · 3,600) (mile · ft · hour / hour · mile · sec)

= 88 ft/sec . 

4 0
3 years ago
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