A helicopter hovers at an altitude that is 1000 feet above a mountain of altitude 5210 feet. A second, taller peak is viewed from both the mountaintop and the helicopter. from the helicopter, the angle of depression is 43, and the mountaintop, the angle of depression is 18 degree. how far apart are the mountain peaks? what is the altitude of the taller peak?
Answers
y – difference between the altitudes of two peaks
Equations:
y/x = tan(17°)
(1100 – y)/x = tan(46°)
Solution:
y = (1100 tan(17°)) / (tan(17°) + tan(46°)) = 250.74 ft
x = y / tan(17°) = 820.12 ft
Horizontal distance from peak to peak is 820 ft.
Altitude of the taller peak is 5300 + 250 = 5550 ft.
The direct distance from peak to peak is √(x²+y²) = 857.6 ft.
Answer:
the altitude of the taller peak is equal to 5468.4 ft
Step-by-step explanation:
given,
altitude of the helicopter = 1000 ft
height of the mountain = 5210 ft
Angle of depression from helicopter = 43°
Angle of depression from mountain = 18°
2.87 h = 1000 - h
3.87 h = 1000
h = 258.4 ft
Taller peak =
= 5210+258.4
= 5468.4 ft
the altitude of the taller peak is equal to 5468.4 ft
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Answers
we know that
the equation of the line in the slope-y intercept form is equal to
where
m is the slope of the line
b is the y-intercept of the line---> (Remember that the y-intercept is the value of y when the value of x is equal to zero)
In this problem we have
so
therefore
the answer is
The slope of the line is equal to
Answer:
the Slope of line, y = x - 3 is 1.
Step-by-step explanation:
Given equation of line, y = x - 3
To find: Slope of the line.
we have many forms of equation of line, but this resembles with slope-intercept form.
The standard form of Slop-Intercept form is given by y = m.x - c
where, m is slope of the line and c is the y-intercept of line
Therefore, By comparing given equation of line with standard form of Slope-Intercept form of line. we get,
m = 1.
So, the Slope of line, y = x - 3 is 1.
Answers
Answer: However, without additional information about their rates of biking, we cannot conclusively determine if both rates remained steady.
Step-by-step explanation:
To determine if both rates remained steady, we need to compare the number of laps completed by Sue and Juanita at different points in time.
According to the information given:
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- When Juanita had completed 30 laps, we don't have information about how many laps Sue had completed.
Based on the given information, we cannot directly determine if both rates remained steady.
To make a comparison, we would need to know the time it took for each person to complete their laps. If their rates of biking remained the same throughout, then their lap counts would remain proportional.
For example, if Sue and Juanita maintained a constant rate of 3 laps per minute, then after the same amount of time, Sue would have completed 9 laps, and Juanita would have completed 27 laps (3 laps per minute multiplied by the same amount of time). In this case, their rates would remain steady.
mm2
Answers
surface area of a rectangular prism with a base length of 70 mm^2, perimeter of the base is 50 mm. The height of the prism is 9 mm. let a= base length, b = base width, c = height=9. a*b= 70. a+b+9=50, or a+b=41, now bc+ca= c(a+b)=9*41=369 so suface area= 2(ab+bc+ca)= 2(70+369)=878 mm^2
I usualy don't help people but cyani*de and happiness i'm a suck*r for
.5(30)(7)
15*7= 105 mm
Answers
Final answer:
The expression to represent Steve's height in inches can be denoted as 'H'. 'H' is a variable that represents the unknown quantity, which is Steve's height in this context.
Explanation:
We will denote Steve's height in inches as H. This letter represents a variable, a letter that stands for a number we don't know yet, which, in this case, is Steve's height. In Mathematics, we commonly use letters like this to represent unknown quantities or variables. So the expression to represent Steve's height in inches is H.
Learn more about expressions in Mathematics here:
#SPJ3
Answer:
he is as tall as a Mouse.
explanation:
we can't Write an expression to represent Steve's height inches if we don't know what his height is
So what is Steve's height?
shown below and is not drawn to scale. Use the formula A=bh to help answer the questions
below.
Answers
I have attached an image showing the sketch and the questions to answer.
Answer:
7) $1.28 per brick paver
8) 64 Sq.inches
9) $0.02 per Sq.inches
10) 0.4444 Sq.ft
11) 120 Sq.ft
12) Number of paver to cover patio = 270
Cost of that number = $345.6
Step-by-step explanation:
7) from the image attached, we can see that a box of 12 pavers cost $15.36.
Thus,cost of each brick paver = 15.36/12
>> $1.28 per brick paver
8) we see on the right of the image attached that the dimension of the brick paver is 8 inches length and 8 inches width.
Thus; square inches is the area = 8 × 8 = 64 Sq.inches
9) 1 paver has an area of 64 Sq. Inches. Thus, 12 pavers has an area of;
12 × 64 = 768 Sq.inches
Since cost of 12 pavers is $15.36
Thus coat per Sq inches of the pavers = 15.36/768 = $0.02 per Sq.inches
10) To find the Sq.ft each paver would cover, we will first convert the dimensions of the paver to ft.
Thus;
Length of 8 inches = 8/12 ft
Width of 8 inches = 8/12 ft
Area = (8/12) × (8/12)
Area = 4/9 Sq.ft = 0.4444 Sq.ft
11) The patio measures;
Length = 12 ft
Width = 10 ft.
Thus;
Area = 12 × 10 = 120 Sq.ft
12) Each paver has an area of 4/9 Sq.ft.
Thus;
Number of pavers to cover the patio = area of patio/area of each paver
Number of pavers to cover patio = 120/(4/9) = 270 pavers
12 pavers cost $15.36
Thus, 270 pavers will cost;
270 × 15.36/12 = $345.6