# Pre Cal

posted by .

a ski slope on a mountian has an angle of elevation of 25.2 degrees. the vertical height of the slope is 1808 feet. how long is the slope?

• Pre Cal -

This is using your trig function.

sine = opposite/hypotenuse
In this problem, we are finding the hypotenuse. Think of the mountain as a right triangle.

sin(25.2) = 1808/x and you are solving for x.

• Pre Cal -

i tried doing that but my hypotenuse was smaller then my opposite... is that ok...

sin(25.2)= .4257 then i divided by 1808 to get x by itself and i got...

2.3535 E -4

wouldn't that be wrong?

• Pre Cal -

No - you should have done 1808/.4257 and get 4246.33.

• Pre Cal -

We use sine = opp/hyp

Let x be the height of the slope that we are seeking.

sin(25.2 degrees) = 1808 feet/x

Multiply both sides by x and we get:

sin(25.2 degrees)(x) = 1808 feet

Next: Divide both sides by sin(25.2 degrees) to find x.

x = 1808 feet/sin(25.2 degrees)

x = ????

Can you finish?

## Similar Questions

1. ### Pre Cal

a ski slope on a mountian has an angle of elevation of 25.2 degrees. the vertical height of the slope is 1808 feet. how long is the slope?
2. ### precalculus

a ski slope on a mountain has an angle of elevation of 25.2 degrees. the vertical height of the slope is 1808 feet. how long is the slope?
3. ### math

a ski slope at a mountain has an angle of elevation of 25.2 degrees. the vertical height of the slope is 1808 feet. how long is the ski slope. show diagram
4. ### algebra 2

A flagpole at a right angle to the horizontal is located on a slope that makes an angle of 12 degrees with the horizontal. The pole's shadow is 16 meters long and points directly up to the slope. The angle of elevation of the sun is …
5. ### algebra

A flagpole at a right angle to the horizontal is located on a slope that makes an angle of 12 degrees with the horizontal. The pole's shadow is 16 meters long and points directly up to the slope. The angle of elevation of the sun is …
6. ### Physics

On a recent ski trup to Vermont, Mr Backman wanted to beat Mr S's ski jump recor. Mr B left the ski jump ramp with an initial velocit of 37.0 m/s and angle of 27 degrees from the horizontal. a) What is the maximum height theat Mr B …
7. ### calculus

A pole at a right angle to the horizontal is located on a slope that makes an angle of 12 degrees with the horizontal. The pole's shadow is 16 meters long and points up the slope. The angle of elevation from the tip of the shadow to …
8. ### math

A flagpole stands at a right angle to the horizontal at the bottom of a slope. The slope has an incline of 8° with the horizontal. The flagpole casts a 20 meter long shadow up the slope. The angle of elevation of the sun is 17°. …
9. ### Trigo

A vertical pole is standing on a slope that is inclined at an angle 8 degrees to the horizontal and casts a shadow that is 82 ft. long down the slope. How tall is the pole if the angle of elevation of the sun is 28 degrees?
10. ### physics

A skier slides down a ski slope with an acceleration 2.2 m/s^2 directed down the slope. The coefficient of kinetic friction between the skis and the slope is 0.24. What is the angle of the slope with the ground?

More Similar Questions