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
Answer:
a. 32
b. 48
Step-by-step explanation:
Forty percent of the 80 birds were robins.
a. How many of the birds were robins?
b. How many of the birds were not robins?
___________________
Forty percent of the 80 birds that were robins = 40%/100%
To find how many of the birds were robins, use part/whole = part/whole
40%/100% = ?/80
This will tell us how many exact robins were there
To solve, multiply 80 by 40 and then divide all by 100
80 x 40 ÷ 100 = 32
so 32 of the birds were robins
now for b since 32 of the birds were robins out of 80 birds, subtract 32 from 80.
80 - 32 = 48
b or the second option
The correct answer for the question that is being presented above is this one: "w(w + 2) = 48." John has 48 square centimeter tiles he wants to use to create a mosaic. He wants the mosaic to be rectangular with a length that is 2 centimeters longer than the width.
Let w = width
Let (w+2) = length
Area = w(w+2).
Answer:
Step-by-step explanation:
CD is Pole
∠CAD = 4° {Alternate interior angles}
ΔCAD,

In ΔCDB,
∠B = 5° {Alternate interior angles}

Answer:
Hi there!
Your answer is:
B. Identity property
Step-by-step explanation:
The multiplicative identity property of 1, any number multiplied by 1, gives the same result as the number itself. It is also called the Identity property of multiplication, because the identity of the number remains the same
Hope this helps!