A wheelchair ramp is 8.0 m long. The angle of inclination is 10°. Calculate the rise of the ramp to the nearest tenth of a meter.

The height of the ramp is 1.39 m.

Step-by-step explanation:

We have,

A wheelchair ramp is 8.0 m long

The angle of inclination is 10°

It is required to find the rise of  the ramp.

Here, hypotenuse is 8 m and angle of inclination is 10°.

Using trigonometry to find it.

x is rise of the ramp

So, the height of the ramp is 1.39 m.

δabc ≅ δdcb by sas because

db ≅ ac . . given (side)

bc ≅ bc . . reflexive property (side)

∠dbc ≅ ∠ acb . . alternate interior angles where transversal bc crosses parallel lines bd and ac (included angle)