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Mathematics, 31.01.2020 22:49 edjiejwi

Problem:

you must find the horizontal distance between two towers (points a and b) at the same elevation on opposite sides of a wide canyon running east and west. the towers lie directly north and south of each other. you mark off an east/west line running perpendicular to ab. (drawing not to scale! )

for three points each answer the following questions showing all your work. you may need to add to the sketch above, or make your own, in order to fully understand the problem.

a. from c you measure the angle between the two towers (angle acb). given the distance from c to b, which trig function you find the distance ab? (note: ab is perpendicular to cd.

b. write an equation and solve it to find an expression for the distance ab.

c. if the angle at c is 87.3° and the distance cb is 217 feet, what is the distance between the towers to the nearest whole foot?

d. you want to check your work to make sure it’s right. you should be able to both measure and compute the angle at d. knowing the distance between the two towers and the distance bd, what inverse trig function would allow you to compute the angle at d?

e. given the distance you found in part c and the distance bd is 450 feet, what is the angle at d to the nearest one-tenth degree?


Problem:  you must find the horizontal distance between two towers (points a and b) at t

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