Weekend Homework

This weekend:

1.) Complete the "word problems" we started and drew pictures for in class today. THIS WILL BE COLLECTED AND GRADED ON MONDAY! (Use the pictures below!)

2.) Solve the two triangles provided in class or below. 

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Here's a copy of the worksheet that I'm collecting on Monday in case you lost yours (the diagrams above are for these questions):

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. lookout 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 9^o.  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.

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Lastly, we have a test coming up next week! Here's an outline of EVERYTHING we've covered so far that you'll need to know for your test!

• Section 4.1:
• Sketch angle measures in radians and degrees (in standard position)
• Name an angle measure in radians/degrees given a sketch
• Determine which quadrant the terminal side of an angle falls in
• Find complements and supplements in both radians and degrees
• Find coterminal angles in radians and degrees
• Convert angle measures from radians to degrees
• Convert angle measures from degrees to radians
• Section 4.3
• Define the 6 trig ratios for a triangle and given angle (theta)
• Sketch a triangle, label sides, and define the trig ratios given one ratio
• Ex: Given cos(x) = 1/3, find the remaining 5 trig ratios
• Solve triangles
• Use ratios to find side lengths
• Use trig inverses to find angle measures
• "Word Problems"
• Sketch a (right) triangle to model a scenario
• Know: angles of elevation, angles of depression
• Use SOHCAHTOA to find missing side lengths and/or angle measures