Q48. - Algebra 2

Question

Writing in MATH Answer the question that was posed at the beginning of the lesson.

How is trigonometry used in building construction?

Include the following in your answer:

• an explanation as to why the ratio of vertical rise to horizontal run on

an entrance ramp is the tangent of the angle the ramp makes with the

horizontal, and

• an explanation of how an architect can use the tangent ratio to ensure

that all the ramps he or she designs meet the ADA requirement.

Step-by-Step Solution

Answer

• Because from side view it looks like a right angled triangle
• Because it give the angle of ramp

Step 1. Given information

A ramp with vertical and horizontal lengths is given

Step 2. Concept used

If we see the ramp from side, it looks like a right angled triangle with height as perpendicular of triangle and horizontal length as base.

Tangent will give the angle of ramp.

Step 3. Calculation

The ramp looks like a right angled triangle with height as perpendicular of triangle and horizontal length as base.

So, by finding the ratio we can find the angle of the ramp. And after that we can compare it with ADA requirement.