SOLUTION: A straight trail with a uniform inclination of 16 degrees leads from a lodge at an elevation of 1,000 feet to a mountain lake at an elevation of 7,900 feet. What is the length of
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-> SOLUTION: A straight trail with a uniform inclination of 16 degrees leads from a lodge at an elevation of 1,000 feet to a mountain lake at an elevation of 7,900 feet. What is the length of
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Question 1202113: A straight trail with a uniform inclination of 16 degrees leads from a lodge at an elevation of 1,000 feet to a mountain lake at an elevation of 7,900 feet. What is the length of the trail (to the nearest foot)?
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A straight trail with a uniform inclination of 16 degrees leads from a lodge
at an elevation of 1,000 feet to a mountain lake at an elevation of 7,900 feet.
What is the length of the trail (to the nearest foot)?
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Make a sketch.
In the sketch, find a right-angled triangle.
Its acute angle is 16°; its opposite vertical leg is b = (7900-1000) = 6900 ft.
They want you find the hypotenuse length "c".
Write b = c*sin(16°), or 6900 = c*sin(16°), and find
c = = = 25032.897.
Round to the nearest foot and get the
ANSWER. The length of the trail is 25033 ft (rounded).
