1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
ss7ja [257]
3 years ago
7

a ladder leans against the sufe of a house. the angle of elevation of the ladder is 70 degrees when the bottom of the ladder is

12 ft from the side of the house. find the length of the ladder. round your answer to the nearest tenth.
Mathematics
1 answer:
nekit [7.7K]3 years ago
4 0

Answer:

≈ 35.1 ft

Step-by-step explanation:

The model is a right triangle with ladder being the hypotenuse and the angle between the ground and the ladder is 70°

Using the cosine ratio, with l being the length of the ladder.

cos70° = \frac{adjacent}{hypotenuse} = \frac{12}{l} ( multiply both sides by l )

l × cos70° = 12 ( divide both sides by cos70° )

l = \frac{12}{cos70} ≈ 35.1 ( to the nearest tenth )

The ladder is approx 35.1 ft long

You might be interested in
Help....it it easy.
dusya [7]

Answer:

miles/48 min = 4 mi/30 min

----

 

miles = 48(2/15)

miles = 96/15

miles = 6.4 miles

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
How does the volume of an oblique cylinder change if the radius is reduced to 2/9 of its original size and the height is quadrup
Novay_Z [31]
New volume is given by:
New volume=(old volume)×(4×2/9×2/9)
simplifying the above we get:
New volume=(old volume)×16/81
Thus the new volume is 16/81 times the old volume
old volume=πr²h
Hence:
Answer:16/81πr²h


4 0
3 years ago
What is the value of x in the figure shown
LiRa [457]

Answer:

x = 66

Step-by-step explanation:

Have a nice day

7 0
3 years ago
Read 2 more answers
the length of the rectangle is measured as 370mm correct to 2 significant figures.a) what is the upper bound for the length?the
ivanzaharov [21]

Answer:

a) 375

b) 7062.75 mm²

Step-by-step explanation:

b) We need to find the shortest possible width and length to get the smallest possible area.

To get the boundaries for 19.4, we go on to the next significant figure (the hundredths) and ± 5 of them.

The boundaries are, therefore: 19.35 - 19.45

As for the length, we can see they've added 5 units as the measurement is correct to 2 sig' figures, which is the tens.

And so, if we do as we did before, we go to the next sig' figure (the units) and ± 5 of them, we get the boundaries to be 365 - 375.

Now, we just multiply the lower bounds of the length and width to get the minimal/lower-bound area:

365 * 19.35 = 7062.75 mm²

7 0
2 years ago
A bucket holds 84.5 ounces of water. How much is this in liters?
Nostrana [21]
84.5 ounces = 2.4 litres
5 0
3 years ago
Read 2 more answers
Other questions:
  • The probability that Alma makes a three-point shot in basketball is 20 % 20%20, percent. For practice, Alma will regularly shoot
    5·1 answer
  • Find the proportion of the data that must lie in (M-8σ, M+8σ) when M=7.013 and σ=3.125.
    11·1 answer
  • How to solve this please?
    11·1 answer
  • Matt and Seth purchase baseball cards each week. the amount of cards they each have in their collection is shown in the graph an
    12·1 answer
  • Lines l and m are parallel. Which angle is a corresponding angle with ∠5? ∠7 ∠6 ∠8
    13·1 answer
  • What is the vertex of: <br> y=x^2+10x+26
    13·1 answer
  • The following data table represents the total cost of a monthly cell phone bill as a function of the number of minutes that the
    14·2 answers
  • Two trains leave the station at the same time, one traveling due east, the other due west. After 46 minutes, they are 140 miles
    5·1 answer
  • Pleaseeee helppp!! ……..
    5·2 answers
  • A magic 8 ball has a diameter of 5 inches. It is filled 85% full with bull water. How much space is occuppied by water? Round to
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!