We know that
if ∠WCR=49°
then
measure arc WR=49°-------> by central angle

circumference C=2*pi*r
for r=7 in
C=2*pi*7-----> 43.96 in

if 360°(full circle) has a length of----------> 43.96 in
49°---------------> x
x=49*43.96/360-----> x=5.98 in

alternative method
applying the formula
L=(∅/360°)*2*pi*r
where
∅ is the angle in degrees
r is the radius
L=(49°/360°)*2*pi*7------> L=5.98 in

the answer is
5.98 in

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3 years ago

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A cactus casts a shadow 33 feet long. At the same time of day, Liam who is 6 feet tall, casts a shadow 9 feet long, as shown.

castortr0y [4]

Answer:

here's the solution :-

1.) =》the base of the larger triangle is the length of shadow formed by cactus .

so, length of cactus is : 33 feet.

2.) now, jn the smaller triangle formed by liam and it's shadow : -

=》

since both triangle form 90° the bases of both the larger and smaller triangles are parallel , so the base angles of larger triangle = corresponding base angles of the smaller triangle

hence, the both triangles are similar

( by A.A postulate )

now since the both triangles are similar, the the sides will be proportional ,

=》

$\frac{9}{33} = \frac{6}{x}$