Right-Angle Trig
Tan 45 degrees?
1
In a triangle, angle A is 45 degrees, angle B is 30 degrees, side CB is 5cm. What is the length of side AC?
3.54 cm
When would it be appropriate to use the elimination method?
When both variables are on the same side of the equal sign in both equations
What do we call the maximum or minimum of a parabola?
Vertex
What is the name of the formula that can be used to solve for the area of a triangle if the length of all three sides is known?
Heron's formula of Hero's Formula
A triangle has an adjacent side of 15 m and the hypotenuse has x. The given angle is 57 degrees. What is the value of x?
27.54 m
Two sides of a triangle are 7 and 9 units. The angle in between them is 120 degrees. What is the area of the triangle?
27.3 square units
Identify the variables in the following scenario: The perimeter of a rectangular yard is equal to 60 m. If we double its length and triple its width, the perimeter is 144 m.
x, the length of the yard
y, the width of the yard
Convert this equation to general form:
f(x)=2(x-1)2-1
f(x) = 2x2-4x+1
What is the last step when solving for an obtuse angle?
To subtract the acute angle obtained from 180 degrees
A triangle has a hypotenuse of 8 cm, the opposite measures x and the given angle is 62 degrees. What is the value of x?
7.06 m
The sides of a triangle are 4, 6 and 9. What is the area of the triangle?
9.56 u2
Identify which method would be most appropriate to use in this scenario:
In a class of 30 students, there are six more boys than girls. What percentage of the class are girls?
Substitution
What is the vertex of this equation:
f(x)=-2x2-16x-36
(-4,-4)
How many zeros will a quadratic function have if the sign of a and k are the same?
0 or none
A triangle has an opposite side of 12 m and the adjacent side is 15 m. What is the given angle?
39 degrees
In triangle ABC, a=10 cm, b=12 cm and angle A measures 56 degrees. What is the measure of the OBTUSE angle B?
95.8 degrees
There are 52 boats in a marina: sailboats and speedboats. There are 3 times as many sailboats as speedboats. How many sailboats and speedboats are there?
39 sailboats and 13 speedboats
The trajectory of a miniature rocket is defined by the equation h(t) = -3t2 + 30t where t represents the number of seconds elapsed since launching the rocket and h(t) represents the height of the rocket in metres. What is the maximum height reached by the rocket?
75 m
What needs to be true in order for a quadratic function to have only 1 zero?
k=0
To calculate the height of a building, Reni measures the angle of elevation of the top of the building as 52 degrees. He then walks 20 m closer to the building and measures the angle of elevation as 60 degrees. What is the height of the building?
98 m
In triangle ABC, b=28 feet, angle C=102 degrees and angle B=29 degrees. What is the area of this triangle?
596.9 ft2
In a warehouse, there is a total of 32 boxes. There are small 240 dm3 boxes and large 320 dm3 boxes. If the total volume occupied by the boxes is 9280 dm3, how many small boxes are there?
12 small boxes
Solve for the zeros of the following equation:
f(x)=-x2+6x-5
The zeros are (1,0) and (5,0)
Consider triangle ABC, if it's area is 66 cm2 and side a measures 26 cm and side b measures 12 cm what does angle C measure?
25 degrees