Hopefully I get the pleasure of seeing you all in school tomorrow!
We'll be checking the following homework on Wednesday (when we're back)...
Homework:
1. Right Triangle Trig word problems we started in class (if you need them, they're below...)
2. Page 276: 57 - 63 (odd), 67, 68
Right Triangle Trig Word Problems:
Trigonometry: Solving Right Triangles
1.) A person is looking up at a hot air balloon; the angle
of elevation to the balloon is 45.° The distance from the observer to the
basket of the balloon is 100 feet. How high is the balloon?
2.) A ladder leans against a house at an acute angle, while
the house and ground form a right angle. The ladder is 17 feet long, its base
sits 8 feet away from the house.
a. Find the six trigonometric ratios for the acute angle
formed by the ladder and ground.
b. Find the measure of the acute angle formed by the ladder
and the ground.
3.) Claire is standing on top of a 30 ft look out tower on shore
keeping an eye on a cruise ship that is in the harbor docked. If she is looking at the ship at an angle of
depression of 120 when the ship stops, how far do the passengers of
the ship have to ride the fairy to the dock?
4.) When a 757-Passenger jet begins its descent on Bradley Airport, it
is 4300ft from the ground. Its angle of
descent (depression) is 9o.
Make a sketch.
a. What
is the plane’s ground (horizontal) distance to the airport?
b. How
far does the plane have to travel to reach the airport?
5.) Find the measure of the angle a in the diagram below.
6.) A diver
stands on level ground 50 feet from the base of the 12 foot high dive. What is
the approximate measure of the angle of elevation between the diver and the
diving board (round to the nearest degree)?
7.) A kite is flying 70 feet above the ground and is attached to a
string tied to a stake on the ground. The angle of elevation formed by the
string and the ground is 40°. Find the length of the string to the nearest
foot.
