Right Triangle Trigonometry, algebra homework help

1. OPEN ENDED Draw two right triangles ABC and DEF for which sin A = sin D. What can you conclude about ABC and DEF? Justify your reasoning.
2. Writing in Math Use the information on page 779 to explain how trigonometry is used in building construction. Include 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.

angle A
GET READY for the Lesson
The Americans with Disabilities
Act (ADA) provides regulations
designed to make public buildings
accessible to all. Under this act,
the slope of an entrance ramp
designed for those with mobility
disabilities must not exceed a ratio
of 1 to 12. This means that for
every 12 units of horizontal run,
the ramp can rise or fall no more than 1 unit.
When viewed from the side, a ramp forms a right triangle. The slope
of the ramp can be described by the tangent of the angle the ramp
makes with the ground. In this example, the tangent of angle A is
1 ft
12 ft
12