Given:
Height of Mountain A = 5210 feet
Distance of Mountain A from a helicopter above the peak = 1000 feet
Angle of depression:
Mountain B to helicopter = 43 degrees
Mountain B to Mountain A = 19 degrees
First, draw an illustration and label the enumerated given values.
Observe that there are two right triangles formed:
From the triangle formed by the helicopter and Mountain B,
let x = total height of mountain B
y = leg of first triangle (helicopter and mountain b)
h = hypotenuse
Use the Pythagorean Theorem:
cos (43) = y / h
From the second triangle formed by mountain b and a,
cos (19) = (1000 + y) / h
solve for h and y
then, solve for the height of Mountain B:
x = 1000 + y + 5210
Answer:
1) 
2) 12 inches tall.
Step-by-step explanation:
1) The equation of the line in Slope-Intercept form is:
Where "m" is the slope and "b" is the y-intercept.
In this case:
(The height of the candle in inches)
(The time in hours)
Then, we can rewrite it:
Based on the information provided in the exercise, the line passes through these points:
and 
Then, we can find the slope of the line with the formula 
:
Now we need to substitute the slope and one of the points into and then solve for "b":
Substituting values, we get that the a linear equation that models the relationship between the heigth of the candle and the time, is:
2) We must substitute 
into the linear equation in order to find the height of the candle after burning 8 hours:
H=vt-16t²
vt-16t²=H
vt=16t²+H
v=(16t²+H)/t
v=16(t²/t)+H/t
v=16t+H/t
Answer: the answer would be: v=16t+H/t
Answer:
Michael travels a total of 756 miles each year.
Step-by-step explanation:
If you want the total number of miles he travels(to and from the house combined), just multiply 84 by 9.
84 x 9 = 756
