Transcript Counting Principle

Numerical Trigonometry
Trigonometry

Trigonometric ratios used with right triangles
opposite
sin  
hypotenuse
adjacent
cos  
hypotenuse
opposite
tan  
adjacent


To the nearest meter, how far is it across the river?

To the nearest centimeter, how high is the tree?

A cantilever home extends 4 meters from the side
of a hill. The floor makes an angle measuring 48
with the hill. How far is the other
edge of the floor vertically for the
side of the hill?

A ramp 300 cm long is dropped from the rear of a
furniture truck to the ground. If the ramp makes
an angle measuring 12 with the ground, to the
nearest centimeter, how high is the
bed of the truck from the ground?

To the nearest degree what is the measure of the
angle formed with the ground by a ladder 320 cm
long if the ladder is leaning against a wall at a
height of 280 cm?

If an airplane flies 3 off course for 400 kilometers,
to the nearest kilometer, how far away from the
correct path will the airplane then be?
Definitions

CAB is an angle of elevation.
SRQ is an angle of depression.

A surveyor finds that the angle of elevation from a
point on level ground to the top of a building 110
meters high measures 18. How far is the point
on the ground from the base of the building?

An oil well is drilled on a slant line having an angle
of depression with the level ground measuring 58.
How far below the surface is the drill bit when
1800 meters of the drill rod is in the ground?

A diving submarine travels through the water at a
steady rate of 280 meters per minute on a diving
path that forms an angle of depression measuring
5 with the surface of the water. How far beneath
the surface is the submarine
after 6 minutes?

The Capps Building is 98 meters in height, and is
located 120 meters from the Sullivan Building. If
the angle of elevation from the top of the Capps
Building to the top of the Sullivan Building
measures 31, how tall
is the Sullivan building?

A ladder 20 feet in length touches a wall at a point
16 feet above the ground. Find the angle the
ladder makes with the ground.

A monument is 550 feet high. What is the length
of the shadow cast by the monument when the
sun is 64 above the horizon?

Deal or No Deal
Homework