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snow_lady [41]
3 years ago
5

A ladder is leaning against a building and makes 42° angle with the ground. The top of the ladder reaches 30 feet up on the buil

ding. What is the length of the ladder?
Mathematics
2 answers:
Alex73 [517]3 years ago
4 0
Here we have a right triangle with hypotenuse h, which is to be found.  The top of the ladder is 30 feet above the ground, and that distance is opposite the 42 degree angle mentioned.   Use the sine function to determine the hypotenuse, h:

sin 42 deg = opp / hyp, or     hyp*sin 42 deg = 30 ft.  Then hyp = (30 ft)(sin 42), which in turn equals       hyp = (30 ft) / (0.669) = 44.8 feet (answer)
Ivanshal [37]3 years ago
3 0

Answer:

44.8

Step-by-step explanation:

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What is the value of the expression 2^2 + 4^2 ÷ 2^2? 3 6 8 16
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3 years ago
(50 Points Please help)
Elina [12.6K]

Answer:

A. Length of a Tour Bus                       ↔     #2.      1.1 × 10¹ meters

B. Width of an apple                             ↔      #3.     4 × 10⁰ centimeters

C. Distance from Earth to a Satellite    ↔    #6.     8 × 10² kilometers

D. Thickness of a human hair               ↔     #5.      9 × 10¹ micrometers

Step-by-step explanation:

The length of a tour bus should be measured in meters. It sure is way less than 1 kilometer and way more than a few centimeters. It could be about some meters, more than 5 meters, may be between 10 meters and 15 meters.

The measurement in the box # 2. is 1.1 × 10¹ meters, which is equivalent to 1.1 × 10 meters = 11 meters. Thus, this is a reasonable length.

B. Width of an apple.  

The most appropriate unit to measure the width of an apple should be centimeter. It certainly is shorter than 1 meter and bigger than 1 mm.

The width of an apple could be, more or less, around 8 centimeters. The only measurement in the boxes that is in that order is that in the box #3., 4 × 10⁰ centimeters, because 10⁰ = 1, so 4 × 10⁰ = 4 × 1 = 4 centimeters.

C. Distance from Earth to a Satellite

The distance from Earth to a satellite should be measured in kilometers.

You can find in the internet that the distances of the satellites are between 700 kilometers and 36,000 kilometers.

The number in the box #1 is too big, in the order of ten trillions of kilometers, because one trillion is 10¹²; thus that is nonseasonal (too big).

The number in the box #6 is  8 × 10² kilometers, which is equal to 8 × 100 = 800 kilometers.

Thus,  8 × 10² kilometers (box #6) is the most reasonable measurement for the distance from Earth to a Satellite

D. Thickness of a human hair

Of course, kilometers, meters, centimeters and even millimeters are units too big to measure the thickness of a human hair.

One micrometer is 10⁻⁶ meters or 10⁻³ millimeters.

In the internet you can find that diameter of the human hair is in the range from 17 micrometers to 181 micrometers.

The measurement in the box #5. is 9 × 10¹ micrometers, which is equivalent to 9 × 10 = 90 micrometers.

Thus, 9 × 10¹ micrometers is the most reasonable measurement for the thickness of a human hair.

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3 years ago
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Can you turn those into equations so I can graph them?
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these are the answers to all systems

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