Answered: An architect is designing a staircase…

Trigonometry (MindTap Course List)

10th Edition

ISBN:9781337278461

Author:Ron Larson

Publisher:Ron Larson

Chapter3: Additional Topics In Trigonometry

Section3.1: Law Of Sines

Problem 5ECP

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Question

An architect is designing a staircase in the shape of congruent right triangles with dimensions shown in the diagram. How many steps or triangles are needed if the height of the staircase is not to exceed 5 feet? Enter your answer as a whole number.

5 feet
1 foot
30°
Floor
Your answer:
steps/triangles

Polygon with three sides, three angles, and three vertices. Based on the properties of each side, the types of triangles are scalene (triangle with three three different lengths and three different angles), isosceles (angle with two equal sides and two equal angles), and equilateral (three equal sides and three angles of 60°). The types of angles are acute (less than 90°); obtuse (greater than 90°); and right (90°).

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