vocabulary
cosines and sines
angle of elevation and depression
Sines, Cosines, or Tangent
ect
100
An angle formed by a horizontal line and the line of sight to a object below the horizontal line.
Angle of depression😭😭😭😭😭😭😭😭😭😭😭😭😭😭😭😭😭😭😭😭😭😭😭😭😭😭😭😭😭😭😭😭😭😭😭😭
100
Cos<A=Length of leg adjacent?
Length of hypotenuse 
100
If Miles Wilson Zanto is looking up at Riley Adam at a 11° angle, what is the angle of elevation?
11° ☝☝
100
____A= Length of opposite to <A Length of Hypotenuse
Sine
100
Use Pythagorean theorem to find side c the hypotenuse where a = 9 and b= 32 in a right triangle. Round to the nearest whole number!
33 units
200
An angle formed by a horizontal line and the line of sight to an object above the horizontal line.
Angle of elevation
200
What is the equation for the laws of cosines for finding a with b and c as the other sides?
a2=b2+c2-2bc cos A 
200
If Riley Adam Jones is atop a pyramid and he is looking down at Miles at a 51° angle. What is the angle of depression?
51° 
200
______<A= Length of opposite<A Length of leg adjacent to <A
Tangent
200
When using Law of sines what does the equation look like for triangle ABC when side a is unknown and angle A=52° and angle B=38° and side b=7 units. DO NOT SOLVE!୨୧・・・・୨୧・・・・୨୧・・・・୨୧・・・・୨୧・・・・୨୧・・・・୨୧・・・・୨୧・・・・୨୧・・・・୨୧・・・・୨୧・・・・୨୧・・・・୨୧・・・・୨୧・・・・୨୧・・・・୨୧・・・・୨୧・・・・୨୧・・・・
sin 52/a=sin38/7 
300
______ Ratios or functions, relates the side lengths of a right triangle to its acute angle.
Trigonometric
300
What is the side length of a when b=7 and c=4 and the angle opposite side a is 32°? ROUND TO THE NEAREST TENTH.
a=72+42-2(7)(4)cos32
a=49+16-56cos32
a=65-56cos32
17.5°
300
Turbo🐌 is looking up at a crow at a 29° angle. He is the same speed as the crow. The crow wants to reach his house before he does. Turbo is 85 feet away. Will Turbo make it to his house first?
tan 29°=x/85
x=tan 29°/85
x=47.11626937
He will not even be close to making it. 🤤🐦⬛😵
300
Tan H= ?/?
12/9 
300
In a 30, 60, and 90 triangle what is the distance of the hypotenuse? (use x as your variable)
2x 
400
A set of three non zero whole numbers that satisfy the equation a2+b2=c2 .
Pythagorean Triple 
400
Using the Law Sines where you want to find a in triangle ABC where angle A=72° and angle B=34° and side b= 9 units. ROUND TO THE NEAREST tenth.
sin 72/a=sin34/9
a= 9 sin 72/ sin 34
a=15.3 units
400
Riley is standing 120 feet above on a hot air balloon and looks down at a hybrid cat-dog at and angle of 32° how far away is Riley from the cat-dog? 🐱🐶
cos 48= 120/x
x= 120/cos 48
x=179.337186
too farrrr 😪
400
A plane takes off 14 miles from a 5 mile high cliff. The plane climbs at 16 degrees, will the plane make it over the Cliff?
Tan16= x/14 x=Tan16(14) x=4.01 so yes it will clear the cliff because the cliff is 5 miles high.
400
What is the hypotenuse distance of a 45, 45, 90 triangle? Use x as your variable.
x√2 