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BabaBlast [244]
3 years ago
14

Three students were asked to draw a diagram of the following situation and their responses are recorded below:

Mathematics
1 answer:
aksik [14]3 years ago
4 0

Answer:

Angle of Depression and Angle of Elevation

One application of the trigonometric ratios is to find lengths that you cannot measure. Very frequently, angles of depression and elevation are used in these types of problems.

Angle of Depression: The angle measured down from the horizon or a horizontal line.

Angle of Elevation: The angle measured up from the horizon or a horizontal line.

What if you placed a ladder 10 feet from a haymow whose floor is 20 feet from the ground? How tall would the ladder need to be to reach the haymow's floor if it forms a 30∘ angle with the ground?

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How to find d the values of x and y
stich3 [128]
Attached solution with detailed work.

8 0
2 years ago
Suppose at one point along the Nile River a ferryboat must travel straight across a 1.40-mile stretch from west to east. At this
pogonyaev

Answer:

  about 14° south of east

Step-by-step explanation:

The river speed is about ...

  (2.35 m/s)×(1 mi/(1609.344 m))×(3600 s)/(1 h) ≈ 5.2568 mi/h

The angle of interest is such that its sine is the ratio of river speed to boat speed:

  sin(α) = (5.2568 mi/h)/(21.8 mi/h) = 0.241138

  α = arcsin(0.241138) = 13.9537°

Since the river is flowing north, the boat should be directed south of its intended course by this angle.

The boat should be directed 14° south of east.

7 0
3 years ago
A gold mine has two​ elevators, one for equipment and another for the miners. The equipment elevator descends 77 feet per second
Nuetrik [128]

Answer:

The position of the equipment elevator is 315 feet deep.

The position of the elevator of the miners is 208 feet deep.

At that time, the equipment elevator is deeper.

Step-by-step explanation:

Observation: Seems the numbers are doubled. 77 instead of 7; 1313 instead of 13; 2929 instead of 29; and 1616 instead of 16.

Hence, the question is:

A gold mine has two​ elevators, one for equipment and another for the miners. The equipment elevator descends 7 feet per second. The elevator for the miners descends 13 feet per second. One​ day, the equipment elevator begins to descend. After 29 ​seconds, the elevator for the miners begins to descend. What is the position of each elevator relative to the surface after another 16 ​seconds? At that​ time, which elevator is​ deeper?

Step-by-step explanation:

From the question,

For the equipment elevator

Speed= 7 feet/second

For the elevator of the miners,

Speed= 13 feet/second

To determine the positions of each elevator relative to the surface, we will determine the distance each of the elevator descends.

From the formula

Speed= Distance / Time

Then,

Distance = Speed × Time

From the question,

The equipment elevator begins to descend and after 29 ​seconds, the elevator for the miners begins to descend. To determine the position of each elevator after another 16 ​seconds. That is, the equipment elevator descends for a total of (29+16) seconds and the elevator of the miners descends for 16 seconds.

For the equipment elevator

Speed= 7 feet/second

Time = 29 + 16 seconds = 45 seconds

From,  Distance = Speed × Time

∴ Distance = 7 feet/second × 45 seconds

Distance = 315 feet

Hence, the position of the equipment elevator is 315 feet deep.

For the elevator of the miners

Speed = 13 feet/second

Time = 16 seconds

Distance = Speed × Time

∴ Distance = 13 feet/second × 16 seconds

Distance = 208 feet

Hence, the position of the elevator of the miners is 208 feet deep.

At that time the equipment elevator is deeper.

8 0
3 years ago
There are 3 marbles (yellow,blue,and green). You pick a marble and flip a coin. How many outcomes are possible?
GenaCL600 [577]
Um....either 3 or this is a trick question and its 1 since u picked the marble
5 0
3 years ago
On Saturday and Sunday jarrod went running and burned a total of 6475 calories he burned 320 of those calories on Saturday which
nadya68 [22]

Answer:

The answer is B.

Step-by-step explanation:

It is saying that 647.5 calories is the total amount and 320 is a part of it. so when you do 647.5-320, it becomes 327.5 and that is c. You can only do this with the equation that letter B is saying.

3 0
3 years ago
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