PLEASE HELP A lamppost, CAB, bent at point A after a storm. The tip of the lamppost touched the ground at point C, as shown below: Triangle ABC has measure of angle C equal to 55 degrees, measure of angle ABC equal to 90 degrees, and length of BC equal to 20 What is the height, in feet, of the portion AB of the lamppost? A 20/tan 55 B 20 cos 55 C 20 tan 55 D 20/cos 55

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Explanation:

Check out the diagram below. This is what your textbook is likely showing, or similar to that.

We have a right triangle with angle C = 55. The horizontal portion is BC = 20. The height AB is h which is unknown for now

For the reference angle C = 55, the adjacent side (closest to the angle) is BC = 20 and the opposite side (furthest from the angle) is AB = h. Use the tangent rule to connect the two sides to form a ratio as shown below

tan(angle) = opposite/adjacent

tan(C) = AB/BC

tan(55) = h/20

20*tan(55) = h

h = 20*tan(55)

AB = 20*tan(55)

after simplifying it i got: -36.25 as my answer. hope that !

option (b) is correct

step-by-step explanation:

to find the solution of this system, we need to convert it into reduced row-echelon form. we have,

after applying row operations r2 -> r2/2 and r3 -> r3/3, we get,