Trigonometry
Midpoint
Circles
Word Problems
100
Find side h.
h=32.49
100
midpoint= (-1,4)
100
What is the area of a circle with a radius of 5?
25pi
100
Suppose your school is building a raked stage. The stage will be 30 feet long from front to back, with a total rise of 2 feet. A rake (angle of elevation) of 5 degree or less is generally preferred for the safety and comfort of the actors. Is the raked stage you are building within the range suggested?
x= 3.82
200
x=11.98
200
Find the midpoint.
midpoint=(1,2)
200
Apple pie is delicious. Cherry pie are too. What does this mean?
A=(pi)d
C=(pi)r^2
200
SLIDE 4 You are standing on one side of a river with a friend. Your friend looks directly across the river at a tree. You stand 25 feet to the right of your friend and the angle between your friend and the tree is estimated to be about 79°. Find the distance across the river from your friend to the tree.
x= 128.61
300
What is the measure of side K?
K=74.77
300
Billy thinks point C is the midpoint between E and B. Is Billy correct? If not, where is the midpoint located?
No. Midpoint = (6.5, 5.5)
300
Find the measure of arc AB and of arc ACB
mAB= (20/9)(pi) = 6.98cm
mACB= (70/9)(pi)= 24.43cm
300
classify the triangle by its sides. Justify your answer.
The triangle is isosceles because two sides are congruent.
400
x=26.57
400
Find the coordinate of point P that lies along the directed line segment from A(3,4) to B(6,10) and partitions the segment with a ration of 1 to 2.
P(4,6)
400
What is the equation of a circle with center (2,-3) and a ratio of 5.
(x-2)^2 + (y+3)^2 = 25
400
SLIDE 2 You stand 40 feet from the base of a tree. You measure the angle of elevation from a point on the ground to the top of the tree to be 66°. Find the height h of the tree to the nearest foot.
x= 89.84ft
500
Find theta.
theta=36.87
500
Directed line segment DE has endpoint D(-4,-2) and E(1,8).
Point F divides DE such that DF:FE is 2:3. What are the coordinates of F?
F(-2,2)
500
What is the area of the shaded region? What is the area of the unshaded region?
Area of shaded region= 100/9 (pi) = 34.91 cm
Area of unshaded region= 800/9 (pi) = 279.25 cm
500
SLIDE 3 When the shuttle's altitude is about 14.5 miles, its horizontal distance to the runway is about 52 miles. What is the glide angle? Round your answer to the nearest tenth.
15.6 degrees