SOLUTION: Last problem I'm stuck on...please help!!
A motorist, traveling along a level highway at a speed of 60 km/h directly toward a mountain, observes that between 1:00 PM and 1:10 PM
Algebra.Com
Question 403450: Last problem I'm stuck on...please help!!
A motorist, traveling along a level highway at a speed of 60 km/h directly toward a mountain, observes that between 1:00 PM and 1:10 PM, the angle of elevation to the top of the mountain changes from 10 degrees to 70 degrees. Approximate the height of the mountain.
Thanks!!!
Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!
A motorist, traveling along a level highway at a speed of 60 km/h directly toward a mountain, observes that between 1:00 PM and 1:10 PM, the angle of elevation to the top of the mountain changes from 10 degrees to 70 degrees. Approximate the height of the mountain.
.
Draw the diagram -- it'll help you "see" the solution.
.
distance traveled in 10 minutes = 10 km
.
Let x = height of mountain
and y = distance of car at 1:10 and the point perpendicular to peak
.
tan 10 = x/(10+y)
tan 70 = x/y
.
y = x/tan70
.
tan 10 = x/(10 + x/tan70)
tan10/tan70 = x/(10tan70 + x)
tan10(10tan70 + x) = xtan70
10tan10tan70 + xtan10 = xtan70
10tan10tan70 = xtan70 - xtan10
10tan10tan70 = x(tan70-tan10)
(10tan10tan70)/(tan70-tan10) = x
1.88 km = x
RELATED QUESTIONS
A motorist, traveling along a level highway at a speed of 60 km/h directly toward a... (answered by lwsshak3)
A motorist travels A to B at a speed at 40 km/h and returns at speed of 60 km/h. his... (answered by Alan3354)
A motorist traveled from Town A to Town B. After traveling 13 of the distance for [4] the (answered by ankor@dixie-net.com)
A motorist traveled from Town A to Town B. After traveling 1/3 of the distance for the... (answered by TimothyLamb)
Cars traveling at 120 km/h on a highway to Florida during the march break are separated,... (answered by math_tutor2020,ikleyn)
Hi!
I'd love for some help on this vector word problem I'm confused on: "A river has a (answered by ikleyn)
a disabled freight train is traveling toward a station 140 km away at a speed of 32 km/h. (answered by ankor@dixie-net.com)
Two motorist undertake a journey by car. One motorist travel at an average speed of 100... (answered by ankor@dixie-net.com)
i need ur help on travel and distance problems plzzzzzz......
a motorist drove 150... (answered by josmiceli)