SOLUTION: On a flat sidewalk, you lean a ladder against a wall. The base of the wall makes a 900 angle with the sidewalk. The base of the ladder makes a 50 degree angle with the sidewalk.

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Question 1154562: On a flat sidewalk, you lean a ladder against a wall. The base of the wall makes a 900
angle with the sidewalk. The base of the ladder makes a 50 degree angle with the sidewalk.
0
You measure the distance from the base of the ladder to the wall and it is 12 feet.
Answer each of the following questions please. Clearly indicate your answers with 5 digits
after the decimal, except for whole numbers.
a) How long is the ladder?
b) How high up the wall does the ladder reach?
c) What angle does the ladder make with the wall?
d) Please - draw a diagram and show all calculations.
e) Explain whether any two angles in your diagram represent a cofunction and
prove your statement with values of sine and cosine.
Found 3 solutions by Alan3354, mananth, josmiceli:
Answer by Alan3354(69443)   (Show Source):
You can put this solution on YOUR website!
On a flat sidewalk, you lean a ladder against a wall. The base of the wall makes a 900 ----- I'll assume you mean 90 degs ----
angle with the sidewalk. The base of the ladder makes a 50 degree angle with the sidewalk. ------ Dangerous arrangement. ------
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You measure the distance from the base of the ladder to the wall and it is 12 feet.
Answer each of the following questions please. Clearly indicate your answers with 5 digits after the decimal, except for whole numbers.
a) How long is the ladder?
L = ladder's length
cos(50) = 12/L
-------------------
b) How high up the wall does the ladder reach?
h = L*sin(50)
-------------------
c) What angle does the ladder make with the wall?
Think about it.
---------------------
d) Please - draw a diagram and show all calculations.
No.
------------------
e) Explain whether any two angles in your diagram represent a cofunction and
prove your statement with values of sine and cosine.
sin(angle) = cos(90 - angle)

Answer by mananth(16946)   (Show Source):
You can put this solution on YOUR website!
.
a) How long is the ladder?
cos 50 = 12/ladder length
ladder length =12/cos 50
=18.66868 ft
b) How high up the wall does the ladder reach?
sin 50 = wall height /18.66868
ladder reaches 14.30104 ft
c) What angle does the ladder make with the wall?
40 deg
d) Please - draw a diagram and show all calculations.
e) Explain whether any two angles in your diagram represent a cofunction and
prove your statement with values of sine and cosine.

Answer by josmiceli(19441)   (Show Source):
You can put this solution on YOUR website!
Let = the length of the ladder

and
Let = height where ladder hits wall

-----------------------------
(a)
18.669 ft
(b)
14.301 ft
(c)

40 degrees ( 90 - 50 = 40 )
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(e)
If is opposite and
is opposite , then