SOLUTION: A ski slope at a mountain kforms an angle of 30 degrees with the base. If the height of the slope is 1800 feet, what is the length of the ski slope to the nearest foot?
Answer C
Algebra.Com
Question 66947: A ski slope at a mountain kforms an angle of 30 degrees with the base. If the height of the slope is 1800 feet, what is the length of the ski slope to the nearest foot?
Answer Choices:
A) 900 ft
B) 2078 ft
C) 3118 ft
D) 3600 ft
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
A ski slope at a mountain forms an angle of 30 degrees with the base. If the height of the slope is 1800 feet, what is the length of the ski slope to the nearest foot?
:
The length of the slope would be the hypotenuse (h),
the height(1800 ft) would be the side opposite the angle (30 degrees)
:
Use the sine of 30 degrees:
sin(30) = 1800/h
.5 = 1800/h
.5h = 1800
h = 1800/.5
h = 3600 ft
RELATED QUESTIONS
A ski tow rope is inclined at an angle of 22 degrees with the horizontal. What is the... (answered by mananth,amalm06)
Determine Slope. A man decends 1800 feet of elevation @ 3.25 miles horizontally away from (answered by hydromojo)
A skier drops a total of 700 vertical feet while skiing 1200 ft down the slope.
What... (answered by ankor@dixie-net.com,MathTherapy)
Solve a 30-60-90 Triangle
What is the height of a right triangle with an angle that... (answered by MathLover1,MathTherapy)
To measure a stone face carved on the side of a mountain, two sightings 800 feet from the (answered by lwsshak3)
each base angle of an isosceles triangle has a measure of 30 degrees. If the length of... (answered by NancyLam)
can you help me with this word problem:
an avid hiker decides to climb K2,one of the... (answered by solver91311)
Vail Resorts pays part-time seasonal employees at ski resorts on an hourly basis. At a... (answered by ewatrrr)
Mitch is at the top of Grizzly ski run. His brother bill is looking up the hill from the... (answered by checkley75)