# Thread: Trig word problem

1. ## Trig word problem

A straight road from a rest house with a uniform inclination ends up in a lake in a valley.If the rest house is located at an elevation of 4,800 ft, the valley is at an elevation of 3,700 ft. Determine the inclination of the road if the length of the road is 3,500 ft.

2. Originally Posted by fayeorwhatsoever
A straight road from a rest house with a uniform inclination ends up in a lake in a valley.If the rest house is located at an elevation of 4,800 ft, the valley is at an elevation of 3,700 ft. Determine the inclination of the road if the length of the road is 3,500 ft.
1. Draw a sketch.

2. Use the Sine function to determine the angle:

I've got an angle of 18.3°

Use the Tangens function to get the inclination.

I've got 0.331. That means the road has an inclination of 33.1%.

(Better you never drive a bus on this road ...)

3. Originally Posted by earboth
1. Draw a sketch.

2. Use the Sine function to determine the angle:

I've got an angle of 18.3°

Use the Tangens function to get the inclination.

I've got 0.331. That means the road has an inclination of 33.1%.

(Better you never drive a bus on this road ...)

sorry to grace dig the topic master, but I find hard to translate this problem into a sketch part, could you please help me at the scetch part

I'll just upload how I perceive the sketch part