Right Triangle Trig
Angles and Side lengths
Special Right Triangles
Dilations and Trig Word Problems
Triangle Proportions(images given)+Geo mean
Quads and Polygons
100

Solve for a using trigonometry.

a = 34.6 cm

100

What is the relationship of sides in a 45-45-90 triangle


x,x, xroot2

100

The image of a triangle has side lengths 2, 3 and 4 the pre image has side lengths 4, 6 and 8 what is the scale factore

1/2

100

Solve for x


35.2

100

What is the exterior angle sum of an octagon


360


200

Solve for b using trig.

b = 15.4 cm

200

What is the relationship in a 30-60-90 triangle

x,xroot3, 2x


200

Bob is exactly 6 ft tall and standing 50ft from a tree looking up at the very top. The angle of elevation from the top of his head to the tree is 32 degrees how tall is the tree.

33.05+6=39.05

200

Solve for x



-8 or 3

200

What is the measure of one interior angle of a dodecagon (12 sides)

150


300

Solve for d using trig.

d = 39.9 degrees

300

In a 45-45-90 triangle if the hypotenuse is 10 square root 6 what is the length of the other sides.

10root3

300

A triangle has points A(1,1), B(-2,2) and (0,-2) the triangle has been dilated by a scale factor of 1/2 about the point (-4,-4) what are the coordinates of the resulting image

  • A′ = (-1.5, -1.5)
  • B′ = (-3, -1)
  • C′ = (-2, -3)
300
Solve for DB in simplist Radical form

sqrt(286)

300

In a rectangle ABCD where BC and AD are diagonals and the diagonals bisect each other, at point E. If BC is 6x-5 units long and AE is 2x+1 units long. Find the value of x 

x=3.5

400

Solve for f using trig.

f = 33 degrees.

400

Given an equilateral triangle ABC and BD is an angle bisector where AB is length 6 square root 6 find the lengths of the other sides as simplified radicals


SL:3root6

LL:9oot2

400

Dan spots an airplane on radar that is currently approaching in a straight line, and that will fly directly overhead. The plane maintains a constant altitude of 6350 feet. Mei Mei initially measures an angle of elevation of 17 degrees to the plane at point A. At some later time, she measures an angle of elevation of 36 degrees to the plane at point B. Find the distance the plane traveled from point A to point B. Round your answer to the nearest foot if necessary.

12030

400

Solve for x

22


400

SNA:

If the diagonals of a quadrilateral are congruent, then the quadrilateral is a rectangle.



S

500

Solve for y using the law of sines.

y = 30 cm

500

Given the Square ABCD and AB is parallel to CD

the diagonal CB is of the length 8 square root 10. What is the length of every side of the square


8root5

500

A boat is heading towards a lighthouse, where Dominic is watching from a vertical distance of 114 feet above the water(in the lighthouse). Dominic measures an angle of depression to the boat at point A to be 6 degrees. At some later time, Dominic takes another measurement and finds the angle of depression to the boat (now at point B) to be 32 degrees . Find the distance from point A to point B. Round your answer to the nearest foot if necessary.

902ft

500

Solve for YX

10

500

The top and bottom bases of a trapezoid are 

2x^2+10x+30 and 4x+10. Find the the value of x if the midsegment is 10

x=-2


M
e
n
u