Find the area of a right triangle with legs of 10cm and 8 cm
40 sq. cm
100
Find the length of the hypotenuse of a right triangle if the legs are 4 and 6. Express your answer is reduced radical form.
What is 2 square roots of 13.
100
In a 30-60-90 triangle, the hypotenuse has length 14. Find the length of the two legs.
What is 7 and 7 square roots of 3.
100
The hypotenuse of a right triangle is 10cm. Find the length of the side opposite of the 40 degree angle. Round final answers to the nearest tenth
6.4cm
100
The pilot of a plane flying at an altitude( vertical height) of 1000' looks down at a traffic control personel on the groud. The angle of depression is 25 degrees. What is the distance from the plane to the control personel?
What is 2,366.3 ft.
200
Find the area of a right triangle with hypotenuse = 5cm and one of the legs is 4cm.....( hint must find the other leg)
6 square cm.
200
The diagonal of a square is 12cm. Find the side length of the square. ( leave answers in radical form)
6 sqr. of 2
8.48
200
An isosceles right triangle has a leg of length 4 square root of 2. Find the length of the hypotenuse.
What is 8.
200
The side ADJACENT to a 50 degree angle is 10cm. Find the length of the side OPPOSITE of the 50 degree angle.
11.9
200
A building casts a shadow of 110 feet. If the angle of elevation from that point to the top of the building is 29 degrees', find the height of the building.
61 feet
300
Find the area of a 30-60-90 triangle with short leg = 4cm. Leave answers in radical form.
8 square root of 3
300
The hypotenuse of a triangle is 8cm. One of the legs is 4 cm, find the length of the other leg.( leave answers in simplified radical form)
4 square root 3 =6.9
300
in a 45-45-90 triangle, the hypotenuse has length 10 square root of 2. Find the length of the legs.
10
300
The side adjacent to a 25 degree angle is 4cm. Find the length of the hypotenuse
4.4
300
A ranger is at the top of a 200ft lookout tower. She spots a fire at an angle of depression of 3 degrees from the top of her tower. How far away is the tower?
What is 3817 ft.
400
Find the area of a 45-45-90 triangle with legs = 2sq root 3
6
400
A triangle has side lengths of 3, 4, 6.... Determine if the triangle is acute, obtuse or right.
obtuse
400
in a 30-60-90 triangle, the longer leg has a length of 36. Find the length of the shorter leg and the hypotenuse.
What is 12 square roots of 3 (shorter leg) and 24 square roots of 3 (hypotenuse).
400
The side adjacent to an angle is 9 cm and the side opposite of the angle is 4cm. Find the measure of the angle
23.96----24
400
A building is 41.29 ft tall. The shadow cast by the building is 46.83ft. Find the angle of elevation of the sun.
41.4 degrees
500
Find the area of a 30-60-90 triangle with hypotenuse = 12cm. Leave answers in simplified radical form
18 square root 3
500
Find the perimeter of a right triangle with legs of 12cm and 16 cm
48 cm
500
An equilateral triangle has side lengths of 12 cm. Find the length of the altitude( height)
6 square root 3
500
A ladder that is 20 feet long leans against a building. The ladder makes a 40 degree angle with the ground. How far away is the base of the ladder from the building?
15.3 feet
500
A 5foot person is flying a kite. THe kite's string is 4feet long. The angle of elevation of the person and the string is 70 degrees. How high above the ground is the kite?