Question:
A 33 foot ladder leans against a building so that the angle between the ground and the ladder is 75º. How high does the ladder reach up the side of the building?
Round to 2 decimal places feet.
Answer:
Step-by-step explanation:
The question is illustrated using the attachment as a sketch.
We have that
Required
Determine how high the ladder is to the building
Represent the length of the ladder with L and how high the ladder is on the building with H.
The relationship between L, H and 
is"
Substitute values for L and 
Make H the subject
<em>Hence, the height to which the ladder reaches is approximately 31.88ft</em>
Answer:
x = 99 degrees.
Step-by-step explanation:
The angle in the triangle adjacent to 123 = 180 - 123 = 57 degrees.
m < x = 42 + 57 = 99 degrees. ( by the external angle of triangle theorem).
B=number of ticets sold before
a=number of tickets sold after
cost of a ticket=number of tickets times cost per ticket
beforecost=39.95b
aftercost=54.95a
total cost=925000
39.95b+54.95a=925000
total number tickets=20000
b+a=20000
we have
39.95b+54.95a=925000
b+a=20000
multiply second equation by -39.95 and add to first equatin
39.95b+54.95a=925000
<u>-39.95b-39.95a=-799000 +</u>
0b+15a=126000
15a=126000
divide bot sides by 15
a=8400
sub back
b+a=20000
b+8400=20000
minus 8400 both sides
b=11600
11,600 tickets sold before
8400 tickets sold after
Yes 1.999 is an <span>irrational number</span>
