Trigonometry
Similarity
Miscellaneous
Miscellaneous Again
Special Right Triangles
100
Which trig function would apply to: (_____)x=a/h
What is cos
100
What condition do you look for to find similar triangles using sides.
All corresponding sides are proportional
100
Karen walks 13 blocks east and 5 blocks north to get to school. How many blocks would Karen walk if she were able to walk diagonally between the two locations?
AC = sqrt(194)
sqrt194
100
What does x equal if:
x= 22.2
100
What is the pattern for both a 45-45-90 and a 30-60-90 triangle?
x/x/xsqrt(2) and x/xsqrt(3)/2x
200
In right triangle ABC, AB is the hypotenuse which equals 10cm, angle A equals 59 degrees, calculate AC. (Round to two decimals)
AC=5.15
200
What condition do you look for to find similar triangles using angles.
All corresponding angles are congruent
200
Given this picture find x.
x = 12
200
20.2 meters
200
Using special right triangles solve for q and r.
Q = 21sqrt(3)
R = 21
300
Calculate angle B in Right Triangle ABC, angle A is 90 degrees, where AB=6, and BC=15. (Round to 2 decimals)
angle B= 66.42
300
Triangle A'B'C' is a dilation of triangle ABC with center B and scale factor of 3/2.
What would be the length of segment A'C'?
What is 27/2.
300
Given this picture find h.
H = 7
300
A tree is 10m tall, and casted a shadow of 5m, at the same time, I was standing next to the tree and casted a shadow of 0.9m, how all am I?
You are 1.8m tall
300
Using Special Right Triangles, find x and y.
X = 7sqrt(2)
Y = 7
400
Lisa walks 15 feet from the base of the tree. She measures an angle of elevation from the ground to the nest of 62 degrees. Find how high the nest is above the ground, to the nearest foot.
28 feet
400
If Quad ABCD is similar to Quad XWZY, and <B=37o <A= 89o <D= 182o and <C= 52o then what is <Z?
<Z= 52o
400
To estimate the height of a tree, a Girl Scout sights the top of the tree in a mirror that is 27 meters from the tree. The mirror is on the ground and faces upwards. The scout is 2 meters from the mirror, and the distance from her eyes to the ground is about 1.5 meters. How tall is the tree?
20.25 feet
400
A plane’s altitude is 3 miles. For the pilot, the angle of depression to the base of the tree is 18°. To the nearest mile, what is the distance from the pilot to the base of the tree?
9.71
400
An aircraft takes off and climbs at a constant 30° angle until it reaches an altitude of 5 miles. At that point, what is the plane's distance from the airport? What is the plane's horizontal distance? (Answer must be left as a simplified radical)
Normal distance = 10 miles
Horizontal distance = 5sqrt(3) miles
500
Zelda measures a 35-degree angle of depression to the base of the other platform. Zelda’s partner, Zack, is on the ground doing a safety check on the net. Zelda measures a 75-degree angle of depression to Zack. If Zelda's platform is 10 m off the ground, find the distance from the other platform to Zack.
11.6 meters
500
If triangle ABC is similar to triangle XYZ, if AB = 8, AC = 3.7 and XY = 32 what is the measure of ZX?
ZX = 14.8
500
Mr. Sparks rents a U-haul to move all the fantastic gifts his students gave him for his birthday. The ramp on the truck is 10 ft. long, and the back of the truck is 3 ft. high. What is the angle of elevation between the ramp from the ground? (Round to the nearest tenth)
17.5o
500
Find x and y.
x = 9
y = 15
500
The altitude of an equilateral triangle is 9 in. Find the perimeter of the triangle. Express your answer as a simplified square root.
18sqrt(3)