Angles of Elevation

Angles of DepressionMore Trigonometry ...

... it's all about the angles and how you look at them ...

Looking Down, Part I

Beeches sunrise 3

1089

(1) You just bought 40 L of gas. If you get a discount of 3.5¢/L, how much money will you save?

$1.40

(2) What is the cost of one CD if 4 cost $82.00? $20.50

(3) What is the cost of one if 2 T-shirts cost $35.00? $17.50

(4) How much white sugar is used to make 9 muffins?

1/4 cup

(5) How much butter is needed to make 45 muffins?

1 1/4 cups

(6) Find 75% of 124 93

(7) Find 75% of 110 82.5

(8) Name one LABEL in the spreadsheet.

Name, Hourly Wage, Hours, or Earnings

(9) Write a spreadsheet formula that would calculate the average earnings of all 4 people.

=AVERAGE(D2..D5)

(10) What is 99 x 11?

The following ingredients are used to make 18 banana muffins:6 small, ripe bananas 1 cup brown sugar1/2 cup white sugar 2 eggs 1/2 cup butter 3 cups flour2 tsp. baking soda 2 tsp. baking powder 1 cup chocolate chips 1 tsp. salt

Name Hourly Wage Hours Earnings Abbie 7 4 Barry 8 5 Cindy 9 6 David 10 7

A B C D12345

Mental Math

Determine each of the following ratios:

e) cos ∠A = f) tan ∠A =

c) tan ∠B = d) sin ∠A =

a) sin ∠B = b) cos ∠B =

Use your calculator to determine the value of the following trig ratios rounded to four decimal places.

e) cos 45° = f) tan 45° =

c) tan 70° = d) sin 60° =

a) sin 45° = b) cos 60° =

In a right triangle, the leg adjacent to the angle of 25° is 12 cm long.

d) How long is the hypotenuse of the triangle?

c) How long is the side opposite the 25° angle to the nearest tenth of a centimetre?

b) What are the measures of the other angles?

a) Draw a diagram of the triangle indicating the given angle and side.

A 4 m ladder leaning against a house makes a 65° angle with the ground. How high up the wall of the house does the ladder reach?

A 15 m ramp is built to the loft door of the barn. The loft door is 5 m above ground level. Find the angle that the ramp makes with the ground (angle of elevation).

Skiers ski down a slope that is inclined at a 35° angle to the horizontal. If the skiers reach ground level after travelling a distance of 1280 m, how high is the slope where they began their run?