Pythagorean Triples
45-45-90 Right Triangles
30-60-90 Right Triangles
SOH CAH TOA
Angles of Elevation & depression
100

Do the following sides form a Pythagorean triple? √3, √4 and √5?

No

100

If an isosceles right triangle has a hypotenuse of 4√2 then what is the length of one of the legs of that triangle?

What is 4

100

The short leg length is 6 and the long leg length is 6√3. What is the length of the hypotenuse?

What is 12

100

Given the diagram, find the three trig ratios for A.


What are 

100

From a horizontal distance of 88 feet, the angle of elevation to the top of a flagpole is 18°. Calculate the height of the flagpole to the nearest tenth of a foot.

What is 28.6 feet.

200

Is 5, 12, 13 a Pythagorean triple?

yes

200

A leg of an isosceles right triangle is 5, what is the hypotenuse?

What is 5√2

200

 In a 30-60-90 triangle the short leg length is 3. What is the length of the long leg?

What is 3√3

200

Find the value of Cos 29o to the nearest tenth.

What is .87

200

A 9.0 m ladder rests against the side of a wall. The bottom of the ladder is 1.5 m from the base of the wall. Determine the measure of the angle between the ladder and the ground, to the nearest degree.

What is 80o

300

Daily Double: If a lamppost 25 feet tall creates a shadow 7 feet long what is the distance between the top of the lamppost and the part of the shadow farthest away from it?

24 feet

300

If an isosceles right triangle has a leg length of   what is the length of the hypotenuse?

6

300
In a 30o-60o-90o triangle, the hypotenuse is 24. What are the lengths of the long leg and the short leg?

What are Short leg is 12, long leg is 

300

Find x rounded to the nearest tenth

What is 17.8

300

The angle of elevation of the sun is 68° when a tree casts a shadow 14.3 feet long. How tall is the tree, to the nearest tenth of a foot?

What is 35.4 feet.

400

Can a pythagoren triple have a leg with a decimal point(.0 does not count)

No pythagoren triples consist of only integers

400

If an isosceles right triangle has a hypotenuse of 6√2 , what is the lengths of both legs?

What is 6

400

The length the short leg is 3√3. What is the length of the hypotenuse and the long leg?

What are long leg is 9 and hypotenuse is 6√3

400

Find the indicated angle to the nearest tenth. 

What is 52o

400

A wheelchair ramp is 4.2 ft long. It rises 0.7 ft. What is its angle of inclination to the nearest degree?

What is 10o

500

Is 4, 5 and 7 a Pythagorean triple ?

No

500

If an isosceles right triangle has a leg length of what is the length of the hypotenuse?

What is

500

The length of the hypotenuse is  What is the length of the long leg?

What is 

500

Find the measure of angle C if Tan C=0.1405, round to the nearest tenth.

What is 8o

500

A buoy in the ocean is observed from the top of a 40-meter-high oil rig. The angle of depression from the top of the tower to the buoy is 6° . How far is the buoy from the base of the oil rig?

What is 380.6 meters

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