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:
1.3125
Step-by-step explanation:
1/2 divided by 2/7 is 1.75
1.75 divided by 4/3 equals 1.3125
Answer:
30
Step-by-step explanation:
(3.14)(21.98)(21.98)
-------------------------------
2
Answer:
C is the answer
Step-by-step explanation:
Find the area of the whole circle, r=12cm
=pie× radius sq
=3.14×12×12
=<u>452.16cm sq</u>
The are of the smaller circle, r=6cm
=same formula
=3.14×6×6
=<u>113.04cm sq</u>
<u>Subtract</u><u> </u><u>them</u><u> </u><u>to</u><u> </u><u>find</u><u> </u><u>the</u><u> </u><u>area</u><u> </u><u>of</u><u> </u><u>the</u><u> </u><u>shaded</u><u> </u><u>region</u><u> </u>
452.16 - 113.04
=339.12
<em>Closest</em><em> </em><em>is</em><em> </em><em>answer</em><em> </em><em>is</em><em> </em><em>339</em><em> </em><em>cm</em><em> </em><em>sq</em><em> </em><em>which</em><em> </em><em>is</em><em> </em><em>c</em>
<em>Hope</em><em> </em><em>it's</em><em> </em><em>helpful</em><em>.</em><em>.</em><em>.</em><em>.</em><em>.</em><em> </em>