A straight trail with a uniform inclination of 11 degrees from a lodge at an elevation of 700 feet to a mountain lake at an elevation of 8200 feet. What is the length of the trail (to the nearest foot)?

Length of the trail = 39473.68 ft

Step-by-step explanation:

Let x be the length of the trail.

Given:

Lodge Elevation = 700 ft

Mountain elevation = 8200 ft

Inclination of trail = 11°

We need to find the length of the trail.

Solution:

Total ascent is difference between mountain elevation and lodge elevation.

Length of the trail is the length of the hypotenuse of right angle triangle where the length of the shortest side is the right angle triangle is 7500 ft and opposite angle is 11°.

Using cosine rule.

Therefore, the length of the trail is equal to 39473.68 ft.

30 miles

step-by-step explanation:

we know that 60 seconds equals 1 minute and 60 minutes 1 hour

44 ft       60 sec     60 min     158400   ft

  *   *   =

1 sec       1 min       1 hour         hour

we know that there are 5280 ft per mile

158400   ft       1 mile         30 miles

  *   =

1   hour               5280 ft     1 hour

so in 1 hour   it can travel 30 miles

i think 5 miles per hour

step-by-step explanation: