Question

ramp for disabled people in hospital have slope not more than 30 degree if the height of a ramp 1 metre then find the length of the ramp​

Answer 1

Answer:2meter

Step-by-step explanation:

Angle between the slope ans plane is 30 deg and height of the ramp is 1 meter so by using trigonometric function for sin theta we can find the length of ramp

Answer 2

Given,

The angle of inclination of the slope of a ramp for disabled people in a hospital, with the ground = 30°

Height of the ramp = 1 meter

To find,

Length of the ramp.

Solution,

We can simply solve this mathematical problem using the following process:

Let us assume that the length of the ramp is x meters.

Now, according to the question;

The slope of the ramp forms the hypotenuse of a right-angled triangle whole perpendicular is represented by the height of the ramp and the base is represented by the horizontal intercept of the slope of the ramp. The acute angle opposite to the perpendicular is 30°.

Now,

As per trigonometry, on applying the sine ratio formula for the given angle, we get;

Sin 30° = perpendicular/hypotenuse

=> Sin 30° = (height of the ramp)/(length of the ramp)

=> 1/2 = 1 meter/x meters

=> x = 2 meters

Hence, the length of the ramp is equal to 2 meters.