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iren2701 [21]
3 years ago
10

A pilot in a helicopter sports a landing pad below. If the angle of elevation is73 degree and the horizontal distance to the pad

is 1200 feet, what is the altitude of the helicopter?
Mathematics
1 answer:
ollegr [7]3 years ago
4 0

Answer:

the altitude of the helicopter is 3925ft

Step-by-step explanation:

we know the angle that is formed between the floor and the distance from the platform to the helicopter (73°)

and we know the distance of the platform (1200 feet)

at the angle we will call it α

and at the distance of 1200 feet we will call it adjacent

we want to know the height that in this case would be the opposite leg to the angle we have

we see that it has (angle, adjacent, opposite)

well to start we have to know the relationship between angles, legas and the hypotenuse

a: adjacent

o: opposite

h: hypotenuse

sin α = o/h

cos α= a/h

tan α = o/a

it's the tangent

tan α = o/a

we replace the values ​​and solve

tan α = o/a

tan 73 = o/1200

3.2708 * 1200 = o

o = 3925

This means that the altitude of the helicopter is 3925ft

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A pet store conducted a survey on the types of pets owned by the stores customers. construct a two-way table summarizing the dat
Inessa [10]

Answer:

\begin{array}{cccc}&\text{Own cat}&\text{Do not own cat}&\text{Total}\\\text{Own dog}& 45 & 125 & 170\\\text{Do not own dog}& 78 & 52 & 130 \\\text{Total}& 123 & 177 &300\end{array}

Step-by-step explanation:

From the table you can see that

  • 45 customers own cat and dog;
  • 78 own only cat, then 78+45=123 customers own cat;
  • 125 own only dog, then 125+45=170 customers own dog;
  • 52 own neither cat, nor dog;
  • 78+45+125+52=300 customers in total;
  • 300-123=177 customers do not own cat;
  • 300-170=130 customers do not own dog.

Two-way table is

\begin{array}{cccc}&\text{Own cat}&\text{Do not own cat}&\text{Total}\\\text{Own dog}& 45 & 125 & 170\\\text{Do not own dog}& 78 & 52 & 130 \\\text{Total}& 123 & 177 &300\end{array}

5 0
3 years ago
A scale for a drawing is 5 centimeters= 1 meter. What is the scale in terms of centimeter to centimeters
umka2103 [35]

The scale in cm to cm is:

1 cm = 20 cm

Step-by-step explanation:

Scales are used to draw maps and blueprints of large objects on paper.

Given scale is:

5 centimeters = 1 meter

WE have to find the centimeter to centimeter scale. In order to do so, we have to convert the meters into centimeters

As there are 100 centimeters in a meter

So,

the scale will be:

5 cm = 100 cm

Simplifying:

The scale in cm to cm is:

1 cm = 20 cm

Keywords: Scale, factors

Learn more about scales at:

  • brainly.com/question/8806598
  • brainly.com/question/8955867

#LearnwithBrainly

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Dannng I thought I seen this one before
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