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Jane and mark each build ramps to jump their remote controlled cars. both ramps are right triangles when viewed from the side. the incline of jands ramp makes a 30 dregree angle with the ground and the length of the incline ramp is 14 inches. the incline of marks ramp makes a 45 degree angle with the ground and the length of the incline ramp is 10 inches.what is the horizontal length of the base of janes ramp

Respuesta :

carlosego
1. You have that Jane's ramp makes a 30 dregree angle with the ground and the length of the incline ramp is 14 inches.

 2. Then, to solve this problem you must apply the proccedure shown below:

 Cosα=adjacent/hypotenuse

 α=30°
 adjacent=x
 hypotenuse=14 inches

 3. When you substitute the values and clear "x", you obtain:

 Cos(30°)=x/14
 x=14(Cos30°)
 x=124,70 

 4. Therefore, the horizontal length of the base of jane's ramp is:

 124,70 inches