Word Problems
Vocabulary
Similar Triangles
SIN, COS, TAN
Pythagorean Theorum
100
Derrick casts a shadow of 10m long. At the same time, a tree casts a shadow of 18m. If Derrick's height is 3m, what is the height of the tree?
What is 5.4m.
100
Angles whose measures have a sum of 90 degrees, are said to be?
What is complementary.
100
True or false, similar triangles are exactly the same shape and size.
What is false.
100
What is the formula to find COS of a triangle?
What is adjacent over hypotenuse.
100
What is the pythagorean theorem?
What is c squared equals a squared plus b squared.
200
Tim casts a shadow of 2.4m. A tree that is 10m tall casts a shadow of 24m. How tall is Tim?
What is 1 meter tall.
200
What angles are congruent and have the same "address"?
What is corresponding angles.
200
Which of the following triangles are always similar? a) right triangles b) isosceles triangles c) equilateral triangles
What is c.
200
What is the formula to find TAN of a triangle?
What is oppopsite over adjacent.
200
In a triangle, the length of side a is 4m, and the length of side b is 5m. What is the length of side c?
What is 6.4m.
300
Jamie's shadow is 400cm long. At the same time, she measured the shadow of a street lamp and it was 8m long. How tall is the street lamp if Jamie's height is 2m?
What is 4m.
300
What is another word for adjacent, supplementary angles?
What is linear pair.
300
A man 146cm tall, measures his shadow and found it to be 130cm long. At the same time, the shadow of a enarby tree was 500cm long. How tall is the tree?
What is 561.5cm.
300
What is the formula to find SIN of a triangle?
What is opposite side over hypotenuse.
300
If the length of side a and b is 6m, what is the length of side c?
What is 8.5.
400
At a certain time of day Dylan's shadow is 3.2m long. At the same time, he measured the height of a tree and it was 11.3m long. What is the length of the tree's shadow if Dylan's height is 1.6m?
What is 22.6m.
400
If two lines intersect each other at 90 degrees, what are they said to be?
What is perpendicular.
400
If a triangles formed by Brittney, the Cow and the ground and the Pole and the ground are similar. From Brittney to the tip of the shadows is 16 feet and from Brittney to the pole is 8 feet. The height of the pole is 12 feet, how tall is Brittney?
What is 8 feet.
400
If the angle of a triangle is 72 degrees, and the hypotenuse is 12 cm long, what length of the side opposite 72 degree angle?
What is 11.4cm.
400
In a triangle, if the length of side c is 11.5m, and the length of side a is 10.7m, what is the length of side b?
What is 4.2m.
500
A fence post casts a shadow of 269 cm long. Nicole casts a shadow of 245cm. If Nicole's height is 1.9m, what is the height of the fence post in meters?
What is 2.1m.
500
If two angles share a common ray and a common vertex, what are they said to be?
What is adjacent.
500
Brian made a skateboard ramp that had a rise of 30cm and a run of 1m, now he plans to build another ramp with the same slope, but with a 2m long board for the ramp. What will be the rise and run of his new ramp?
What is a rise of 57.5cm and a run of 191.6cm.
500
In a triangle the hypotenuse is 13.5cm long and the length of the side adjacent to angle A is 11.3 cm long. What is the measure of angle A?
What is 33 degrees.
500
In a scalene triangle, if the length of side b is 167m and the length of side c is 201m, what is the length of side a to the nearest tenth?
What is 111.9cm
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