You are hiking up a mountain peak. You begin hiking at a trailhead whose elevation is about 9400 feet. The trail ends near the summit at 14,255 feet. The horizontal distance between these two points is about 17,625 feet. Estimate the angle of elevation from the trailhead to the summit.

Answers

Answer 1
Answer:

Answer:

Estimate angle of elevation = 15.4°

Step-by-step explanation:

Given:

Start elevation = 9,400 ft

Ends near the summit = 14,255 ft

horizontal distance = 17,625 ft

Find:

Estimate angle of elevation.

Computation:

⇒ Total elevation distance = Ends near the summit - Start elevation

⇒ Total elevation distance = 14,255 - 9,400

⇒ Total elevation distance = 4,855 ft

⇒ Tan A = 4,855 / 17,625

⇒ Tan A = 0.2754

⇒ Tan A = 15.4°

Estimate angle of elevation = 15.4°


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A construction company can remove 3/4 tons of dirt from a construction site each hour. how long will it take them to remove 36 tons of dirt from the site? (Answer needs to be in simplest form)

Answers

It will take the construction company 48 hours to remove 36 tons of dirt from the site.The construction company can remove \( \frac{3}{4} \) tons of dirt from the site each hour.

To find out how long it will take them to remove 36 tons of dirt, we can set up a proportion

\(\frac{\text{Amount of dirt removed}}{\text{Time}} = \frac{\text{Amount of dirt removed}}{\text{Time}}\)

Given:Amount of dirt removed in one hour = \( (3)/(4) \) tons

Total amount of dirt to be removed = 36 tons

Let  t  represent the time in hours it will take to remove 36 tons of dirt. Plugging in the values:\(((3)/(4))/(1) = (36)/(t)\)

Solving for \( t \): \(t = (36)/((3)/(4)) = (36 * 4)/(3) = 48\)hours

So, it will take the construction company 48 hours to remove 36 tons of dirt from the site.

To know more about construction:

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Answer:

48hours

Step-by-step explanation:

36÷(3/4)

36*(4/3)

144/3

48

If 5 added to thrice an integer is – 7, then the integer is​

Answers

Answer:

The integer would be -12

Step-by-step explanation:

x + 5 = -7

  -5      - 5

x = -12

-12 + 5 = -7

A full 1500 liter water tank springs leaks and is losing 2 liters per minutes

Answers

150 minutes is how long the tanks been leaking

Answer:

I guess you have to know when it will be empty

2L                  1500L

1min               (1500*1)/2=750min=12h30min

in 12h30min the tank will be empty

Step-by-step explanation:

Square root of -61 to the nearest tenth

Answers

Answer:

7.8 i

Step-by-step explanation:

Since -61 is negative, you simply do the square root of positive 61 and add an i (imaginary) so signify that it's negative.

What statement best describes a trapezoid? *1 point
a. All sides are equal and opposite sides are parallel
b. Exactly one pair of parallel lines
c. Has 2 sets of parallel lines and four 90 degree angles
d. Has 2 equal sides and 3 acute angles

Answers

Answer:b

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

because it has two parallel side and and other are just lines but being quadrilateral its sum is 360

Given h(x)= -5x+3,solve for x when h(x)=3

Answers

Answer:  x = 0

Explanation

The idea is to replace h(x) with 3. Then we isolate x. Follow PEMDAS in reverse to get x by itself.

Here are the steps:

h(x) = -5x+3

3 = -5x+3

-5x+3 = 3

-5x = 3-3

-5x = 0

x = 0/(-5)

x = 0

As a check,

h(x) = -5x+3

h(0) = -5*0 + 3

h(0) = 0 + 3

h(0) = 3

Therefore, the input x = 0 in the domain leads to the output h(x) = 3 in the range. We have confirmed the answer x = 0

Another way to confirm the answer is to use a graphing tool like GeoGebra or Desmos.