Name: __________________________________________ Date: ___________________ Period: ___________
Gallery Walk: Real-World Trigonometry Applications
Find the indicated measure. Round all answers to the nearest hundredth.
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Homework [DUE 10/26(A) & 10/27(B)]: Round all answers to the nearest tenth.
1. You want to build a fence from two corners
2. Find the height of the tree.
of a building to enclose a triangular garden.
Approximately how much fencing will you
need?
3. Find the horizontal distance covered by the
bleachers.
4. You are flying a kite with a 100-foot long string at
an angle of elevation of 52. Approximately how
high is the kite above the ground?
5. Find the height of the lamppost.
6. You want to build a 14-ft long skateboard ramp with
an angle of elevation of 26. Find the length of the
base of the ramp.
7. A 38-foot ladder just reaches the window on the third 8. A building casts a shadow that is 210 feet long
floor of a building when propped at an angle of 70
and makes an angle of 40 with the top of the
with the ground. How high is the third floor window?
building. Find the height of the building.
9. Astronomers can use trigonometry to calculate
10. The airplane door is 19 feet off the ground and
the ramp has a 31 angle of elevation. What is
the length of the ramp?
11. Partner A: Find the distance from the base of the lifeguard
12. A plane takes off at an angle of elevation of 21
above the ground.
a) Find the distance the plane travels to reach a
cruising altitude of 36,000 feet.
distances in the solar system. Assuming that the sun
is about 93 million miles from Earth, how far is Venus
from Earth, in millions of miles?
chair to the swimmer.
Partner B: Find the distance from the lifeguard to the
swimmer.
Compare your answers: How much farther is the lifeguard
from the swimmer while sitting in the chair than he would
be standing on the ground?
13. Find the height of the flagpole.
15. A fire truck’s ladder can extend to a maximum length of
110 feet and is propped up at an angle of 72. How far
away from the building must the firemen park when the
ladder is fully extended?
b) In your own words, describe what you think
angle of elevation means.
14. You are skiing down a mountain with an altitude
of 1,200 feet. The angle of depression is 21.
a) About how far do you ski down the mountain?
b) About In your own words, describe what you
think angle of depression means.
16. A ship anchors at port. The chain holding the
ship’s anchor is 30 meters long and makes an
angle of 39 with the ground.
a) What is the depth of the sea at the port?
b) In your own words, describe what you think
depth means.