Uhh uhh this might not be right so don’t listen but I think the answer is 46 or sum I’m sorry
Answer:
m<5= 75° Alternate angles are equal
m<6 = 180°-75°= 105 ° Angles on a straight line adds up to 180°
In a rectangle opposite sides are equal so AB= CD
2x+8= 3x+4
3x-2x=8-4 ( combine like terms, the signs will change since they are going over opposite sides)
x= 4
To solve for BC
AD= BC
x+17 ( we know that x=4)
4+17=21
Therefore BC= 21
see the attached figure to better understand the problem
we know that
in the right triangle ABC
cos 56°=AC/AB
where
AC is the adjacent side to angle 56 degrees------> the distance from the surveyor to the building
AB is the hypotenuse-----> 148 ft 2 in
56 degrees------> is the angle of elevation
so
cos 56°=AC/AB---------> solve for AC
AC=AB*cos 56°
AB=148 ft 2 in
convert 2 in to ft
1 ft -----> 12 in
x ft------> 2 in
x=2/12-----> x=0.17 ft
AB=148 ft 2 in-----> 148 ft+0.17 ft------> AB=148.17 ft
AC=AB*cos 56°----> AC=148.17*cos 56°------> AC=82.86 ft
convert 0.86 ft to in
0.86 ft=0.86*12-----> 10.32 in
distance AB=82 ft 10 in
the answer is
the distance from the surveyor to the building is 82 ft 10 in
Word form: twenty million, four hundred eighty-four thousand, one hundred sixty-three