Use Triangle 1
Find the missing side length. If necessary, round to the nearest tenth.
a=16, b=12
a=20
100
Find the missing side length to the nearest tenth.
The hypotenuse is 9 cm long. How long is the side adjacent to a 30o angle?
7.8 cm
100
Simplify
2sqrt(5)-4sqrt(5)
-2sqrt(5)
100
Simplify
sqrt(169)
13
100
Simplify
sqrt(36/25)
6/5
200
Use Triangle 1
Find the missing side length. If necessary, round to the nearest tenth.
b=32, c=44
a=30.2
200
Find the missing side length to the nearest tenth.
A 36o angle has an opposite leg 22 yd long. How long is the hypotenuse?
27.2 yd
200
Simplify
5sqrt(2)+sqrt(32)
9sqrt(2)
200
Simplify
sqrt(200)
10sqrt(2)
200
Simplify
sqrt(s3)/sqrt(t3)
(ssqrt(st))/t2
300
Determine whether the given side lengths can be side lengths of a right triangle.
30, 22, 24
No, cannot be a right triangle
300
Jack is standing 25 feet away from the base of a flagpole. There is a 38o angle of elevation as he looks at the top of the flagpole. If Jack is 6 feet tall, how tall is the flagpole to the nearest tenth of a foot?
25.5 ft
300
Simplify
2sqrt(8)+sqrt(200)
14sqrt(2)
300
Simplify
-4sqrt(7) x sqrt(42)
-28sqrt(6)
300
Simplify
(-5sqrt(3))/(sqrt(12))
-5/2
400
A landscaper attaches a guy wire 10 ft up the trunk of a newly planted sapling. He stakes the wire between 20 ft and 25 ft from the tree. What could be the length of the guy wire if it forms a right triangle with the tree?
Any length between about 22.4 ft and about 26.9 ft
400
Suppose that you are watching someone trim branches from a large tree. He has climbed up 15 meters and his assistant is holding a rope that will be used to guide the branch when it falls. The angle of depression from the man trimming to the rope is 55o. To the nearest meter, how long is the rope?
18 meters
400
Simplify
3sqrt(12)+sqrt(108)
12sqrt(3)
400
Simplify
xsqrt(150x5)
5x3sqrt(6x)
400
Simplify
(8)/(sqrt(3)+1)
4sqrt(3)-4
500
Find the height of a pyramid whose square base measures 30 yd on each side and whose slant height is 45 yd. If necessary, round to the nearest tenth of a yard.
42.4 yards
500
Gayle stood at the edge of a 120-ft deep canyon. She is approximately 5 ft tall and when she looked across the canyon to the far corner, the angle of depression down to her line of sight was 68o. To the nearest tenth of foot, how wide is the canyon?