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Chapter 8: Q. 62 (page 517)

A straight trail with an inclination of 17掳 leads from a hotel at an elevation of 9000 feet to a mountain lake at an elevation of 11,200 feet. What is the length of the trail?

Short Answer

Expert verified

So, the length of the trail is 7196.59 feet.

Step by step solution

01

Given Information

Given that a straight trail with an inclination of 17掳 leads from a hotel at an elevation of 9000 feet to a mountain lake at an elevation of 11,200 feet.

02

Solution

We have to find the length of the trail.

We can draw a figure of the given problem as: -

We have to find the x.

In 鈻�ABC

tan(C)=ABBCtan(C)脳BC=ABBC=ABtan(C)x=2200tan(17掳)x=22000.3057x=7196.59feet

So the length of the trail is 7196.59 feet

03

Final Answer

So, the length of the trail is 7196.59 feet.

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