SOLUTION: A plane takes off from a runway and climbs at at angle of elevation of 15 degrees.
a. After the plane has traveled one mile (5280 feet) how far has the plane traveled horizontally
Algebra.Com
Question 937597: A plane takes off from a runway and climbs at at angle of elevation of 15 degrees.
a. After the plane has traveled one mile (5280 feet) how far has the plane traveled horizontally? Round answer to nearest foot.
b.After the plane has traveled one mile (5280 feet) how far has the plane traveled vertically? Round your answer to the nearest foot.
Answer by TimothyLamb(4379) (Show Source): You can put this solution on YOUR website!
set up a right triangle with the airplane at the top of the short leg:
---
third angle C:
C = 180 - 90 - 15
C = 75
---
a:
use law of sines:
c/sinC = h/sinH
c = sinC*h/sinH
c = sin(75)*5280/sin(90)
c = 5100.0883628
the airplane traveled 5100 feet horizontally
---
b:
use law of sines:
b/sinB = h/sinH
b = sinB*h/sinH
b = sin(15)*5280/sin(90)
b = 1366.56455814
the airplane traveled 1367 feet vertically
---
Free algebra tutoring live chat:
https://sooeet.com/chat.php?gn=algebra
---
Solve and graph linear equations:
https://sooeet.com/math/linear-equation-solver.php
---
Solve quadratic equations with quadratic formula:
https://sooeet.com/math/quadratic-formula-solver.php
---
Solve systems of linear equations up to 6-equations 6-variables:
https://sooeet.com/math/system-of-linear-equations-solver.php
---
RELATED QUESTIONS
A plane rises from take-off and flies at an angle of 10 degrees with the horizontal... (answered by ankor@dixie-net.com)
A plane rises from take-off and flies at an angle of 17 degrees with the horizontal... (answered by ikleyn)
After takeoff, an airplane climbs at an angle of elevation of 11° with the ground. To... (answered by Alan3354,Edwin McCravy)
Two planes take off at a ny airport. The first plane climbs at an angle of 45 degrees... (answered by ankor@dixie-net.com,Alan3354)
An airplane takes off and climbs at an angle of 11 degrees. If the plane must fly over a... (answered by josgarithmetic)
Of a plane takes off from an airport that sit at an elevation of 510 ft and ofter... (answered by Alan3354)
A plane takes off from an airport, which is 5500 ft above sea level, and climbs to... (answered by Alan3354)
A plane leaves the runway at an angle of elevation measuring 9 degrees. What is the... (answered by Alan3354)
A plane is traveling at 270 feet per second. When the plane takes off, the angle of... (answered by Gogonati)