Which Ratio?
If two triangles are similar, what can you say about their angles?
All corresponding angles are equal.
The maximum height that a 20 foot ladder can reach safely if we follow the suggestion that the ladder should not make an angle greater that 75 degrees with the ground.
What is 19.32 ft?
cos-1(0.63)
What is 50.95?
True or False: All congruent figures are similar.
True
A building 20 m tall casts a shadow 12 m long. What is the angle of elevation of the sun?
About 59°
If sin(30°) = 0.5, what is the length of the hypotenuse if the opposite side is 4?
The hypotenuse is 8.
A tree casts a shadow 10 m long. At the same time, a 2 m stick casts a shadow 1.5 m long. How tall is the tree?
The tree is approximately 13.33 m tall.
You’re finding the height of a hill. You measure a 25° angle of elevation from 100 meters away. Which trig function do you use?
Tangent.
If the scale of a map of Canada is 200 km : 1 cm, what distance would be represented by 6.45 cm on the map?
1290km
The angle of depression of a sledding run 300 yards long (hypotenuse) with a vertical drop of 27.6 yards.
What is 5.3 degrees?
A ladder leans against a wall, forming a 60° angle with the ground. What trig ratio helps find the height of the ladder on the wall?
Sine
A doorway of width 3ft and height of 6.2 ft is similar to another doorway of width x and height 10 ft. What is the measure of x?
4.8 feet