Angles, alane Period Perpendicular Lines EA 1-3 Due Dat The first hill of the St

Question

Angles, alane Period Perpendicular Lines EA 1-3 Due Dat The first hill of the Steel Dragon 2000 roller coast Nagashima, Japan, drops riders from a height of 318 ft.A portion of this first hill has been transposed onto a ordinate plane and is shown to the rig 1. The structure of the su or the hill consistsof el ahd perpendicular to one steel beams that run parall another. The endpoints of the beam shown re (0, 150) and (120, 0). The endpoints of the beam a. Verify and explain why the two beams are parallel. shown by AD are 0, 125) and (100.0 b. If_ DAB 125", what is the measure of _CBA? Justify your reasoning. c. Determine the equations of the lines containing the betemmine the equations of the lines containing the beams.lvoci Writinge shown by BC. If marked on the coordinate plane, th 2 Ahng etnshe mes m 2. A third support beam is perpendicular to the beam line containing this beam would pass through the point (60, 75).What is the equationofthe Tine- containing this third beam? Support your answer diagram below shows a section of the steel support ture of a roller coaster. Use the diagram for Items Given JK II PL, mLLKL = (10x + 5)" and mLPLK

Explanation / Answer

B(0,150) C(120,0)

A (0,125) D(100,0)

a) slope of BC = (0-150)/(120-0) = -5/4

slope of AD = (0-125)/(100-0) = -5/4

so they are parallel

b)as BC and AD are parallel

angle CBA + angle DAB = 180

so angle CBA = 180 -125 = 55

c)equation of BC =

(y -0) = -5/4 (x- 120)

y = -5/4 (x-120)

similarly equation of AD

(y- 0) = -5/4*(x-125)

2) this is perpendicular to BC

so slope = -1/(-5/4) = 4/5

point passing through (60,75)

so equation is

(y - 75) = 4/5**(x-60)

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