Answer:
8 seconds.
Step-by-step explanation:
To solve this question, we need to find the time, 
, when 
, that is, when the height of the object above the ground is 0 feet.
Substituting 
feet per second and gives the quadratic:
Since 128 is divisible by 16, it can be reduced to 
.
We must now solve for .
We can easily see that one answer to the equation is 0,
(we need not concern ourselves with the 16 outside of the parenthesis as in the equation above, since 16 multiplied by 0 is 0). However this is the time the object is released into the air.
The second answer, 
is also easy to see by inspection:
.
Therefore the object lands 8 seconds after it is thrown.
By using trigonometric relations, we will see that the angle of elevation must be 55°.
<h3>
How to find the angle of elevation?</h3>
We can see this as a right triangle, where one cathetus measures 1250ft (altitude) and the other cathetus measures 875ft.
The angle of elevation is the angle such that the adjacent cathetus is the one measuring 875ft.
Then we can use the relation:
tan(a) = (opposite cathetus)/(adjacent cathetus)
tan(a) = 1250ft/875ft
To find the angle of elevation, we can use the inverse tangent function:
a = Atan(1250ft/875ft) = 55°
The angle of elevation must be 55 degrees.
If you want to learn more about right triangles:
brainly.com/question/2217700
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Answer:
10.76 miles
Step-by-step explanation:
<em>The following figure can be drawn from the information given.</em>
<em>We have to find the adjacent side which is between the given angle and 90 degrees.</em>
<em>Tan formula will be applied</em>
Tan (anlge) = opposite/adjacent
Opposite = 12.6
Angle = 49.5°
Adjacent = x
Tan (49.5°) = 12.6/x
x = 10.76 miles
Therefore, the fire is 10.76 miles away from the tower Pikes Peak.
!!
twelve multiplied by six equals seventy two. Three multiplied by two equals six. Therefore seventy-two plus six equals seventy-eight
Answer:
RT
Step-by-step explanation:
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