True or false, the trigonometric ratio of sin 45, cos 45, tan 45 are equal?
False
100
What is the Pythagorean Theorem?
a^2 + b^2 = c^2
100
A=76 degrees
a= 18
b= 20
No Solution
100
How do you find cosine?
Adjacent/hypotenuse
200
A plane ascends at a 40 degree angle. When it reaches an altitude of 100 feet, how much distance has it covered. (feet)
119.2 feet
200
you are 200 years from a river creating a right angle. Rather than walking directly to the river, you walk 400 years along a diagonal path to the river's edge. Find the acute angle (theta) between this path and the river's edge.
theta=30 degrees
200
What are the equations for the Law of Sines?
SinA/a=SinB/b=sinC/c
200
find sin of angle b using the pythagorean theorem when angle c=90degrees
a=3
b=4
c=?
sin
200
solve the triangle (find the missing sides and angles)
Given: a=55, b=25, c=72
Hint: when given SSS, always find the largest angle first
The angle of elevation to the top of a building is 21 degrees. At a point 80 feet closer, the angle of elevation to the top of the building is 33 degrees. Approximate the height of the building.
75.102 Feet
300
In triangle ABC , vertex C is a right angle. Which trigonometric ratio has the same trigonometric value as sin A
Cosine B
300
Law of Cosines:(Always solve for Larger Angles First)
What is an equation to solve for a side
A flagpole is situated on a hill that makes an angle of 18 degrees with the horizontal. How tall is the flagpole if its shadow is cast 14 meters downhill when the angle of elevation of the sun is 31 degrees?
3.674 Meters
400
Find the area of the triangle:
angle A=?
a=20
angle B=?
b=62
angle C=130 degrees
c=?
A=474.948
400
write the equation to solve for an angle
cosA=b^2+c^2-a^2/2bc
400
find the remaining sides and angles of the following triangles B=28 degrees
C=104 degrees
a=4
b=2.53
c=5.22
400
Two ships leave a port at 9 A.M. One travels at a bearing of N 53 degrees west at 12 miles per hour, and the other travels at a bearing of S 67degrees west at 16 miles per hour. How far apart are the ships at noon?
The ships are 43.267 miles apart at noon
500
Two people are walking toward each other on a path through the park. The path runs east and west. A hot air balloon is directly above the path between them. One of the walkers, a female, sees the balloon when looking east at an angle of elevation of 46 degrees. The other walker, a male sees the balloon looking west at an angle of elevation of 72 degrees. IF the walkers are 55 yards apart, how far is the balloon from the male observer?
44.809 yards
500
A surveyor is standing 115 feet from the base of the Washington Monument. The surveyor measures the angle of elevation to the top of the monument as 78.3 degrees. How tall is the Washington Monument?
approximately 555 feet
500
what is the equation for an area of a triangle
Area=1/2bcsinA
500
A=58 degrees
a=20
b=10
B=25.089
C=96.991
500
A plane flies 810 miles from Niagara to Cuyahoga with a bearing of N75degrees east. Then it flies 648 miles from Cuyahoga to Rosemount with a bearing of N32degrees East. Draw a figure that visually represents the problem, and find the straight-line distance and bearing from Niagara to Rosemount.
It is 1357.848 miles from Niagara to Rosemount at a bearing of N56.006 degrees East