I
A surveyor is standing 100 Find the sine, the cosine, Some luggage pieces have
wheels and a handle so
yards from the base of a and the tangent of angle
that the luggage can be
A.
cliff. The surveyor has
pulled along the ground.
determined that the cliff is
A
uppose a person's hand i
about 58 yards high.
about 30 inches from the
Estimate the angle that
floo~ About how long
determines the line of
should the handle be on a
sight from the surveyor to
26 inch suitcase so that it
the top of the cliff.
can roll at a comfortable
angle of 45 degrees with
the floor?
1I
stimate angle B of this
right triangle.
A
n a certain part of a
roller coaster ride the
rack is straight and
makes an angle of 45
egrees with the
horizontal. How far do
he riders drop vertically
hile traveling 50 feet
long this part of the
rack?
stimate angle A of this
right triangle.
B
B
A
he angle of elevation
ind the sine, the cosine,
he top of a chairlift has a
rom the base to the top of nd the tangent of angle B. ertical drop of about 482
waterslide is about 13
eet to the bottom of the
(5
egrees. The slide extends
ki slope. If you
orizontally about 58.2
now board downhill about
meters. Estimate the
1409 feet to the start of the
height of the slide.
hairlift, estimate the
ngle of the run.
E.
You are measuring the
height of a Sitka spruce
tree in Alaska. You stand
5 feet from the base of th
tree. You measure the
angle of elevation from a
point on the ground to the
top of the tree to be 59
degrees. Estimate the
height of the tree.
Estimate angle B of th1s
right triangle.
A
A driveway rises 12 feet
over a distance d at an
angle of 3.5 degrees.
Estimate the length of the
driveway.
II
ind the sine, the cosine,
ind the sine, the cosine,
ou are measuring the
nd the tangent of angle B. height of a tower. You
nd the tangent of angle
tand 154 feet from the
~ base of the tower. You
measure the angle of
levation from a point on
he ground to the top of
~0
he tower to be 38 degrees.
40 stimate the height of the
ower.
A
a hot-air balloon is 950
stimate angle A of this
eet from the ground. If right triangle.
he hot-air balloon's
round crew is 4887 feet
rom the point directly
underneath the hot-air
balloon, estimate the angle
hat the crew can see the
balloon.
13
cientists can measure the
epths of craters on the
moon by looking at photos
f shadows. If the length
f the shadow cast by the
dge of the crater is about
00 meters and the depth
f the crater is about 714
meters, estimate the angle
fthe sun's ray.
,f)~ '''''1'''-
My dog is three feet back
from the bottom of the
counter when she looks up "'~
and sees some tasty food
there. How far will she have
to jump to get it?
#..
I'm sitting on top of a cliff. If
I look down with an angle of
depression of 57°, the
distance between me and a
pack of wolves is 110'. How
high is the cliff?
The world's tallest structure
is a TV tower in North
Dakota. If you stand 5280'
back from it, the angle of
elevation to the top is 21.34°.
How high is the tower?
150' of wire is used to brace
the top of a 100' tower to the
ground. What angle does the
wire make with the ground?
One morning when I got to
school, I noticed an owl
sitting on top of the school
flagpole. If I was 25' back
from the base of the pole and
the pole is 60', at what angle
did 1 have to look up at to see
the owl?
I lean a 12' ladder against a
wall with the bottom pulled
out 5'. What is the angle the
ladder makes with the house?
The tie-down lines on my
tent attach at a height of 12".
How far out from the tent do
I need to stake the lines down
so that they form exactly 37
angles with the ground?
The bowl of ice cream looks
down from the counter at the
dog with an angle of
depression of 47°. The dog is
3 feet (3 tile squares) back
from the counter....the bow I
of ice cream wonders how
high the counter is.
One squirrel on the ground
throws a nut to another
squirrel in a tree. How far is
the throw if the ground
squirrel is 15' from the base
of the tree and the tree
squirrel is 12' up the tree?