Pythagorean Theorem
Slide 2
6.3
Slide 7
3/5
Slide 10
Sqrt53/9
Slide 13
9sqrt2
Slide 18
11/2
Slide 3
2sqrt5
Slide 8
sqrt79/11
Slide 11
52.1∘
Slide 14
11/2
Slide 19
sqrt2
Slide 4
6
Slide 9
155.3
Slide 12
52.8
Slide 15
11sqrt2/2
Slide 6
sqrt 11
The sides of a triangle are 68, 61, and 46. Use the Pythagorean Theorem to determine if the triangle is right, acute, or obtuse. (Must show work to receive credit)
a2+b2>c2 therefore it is acute.
From a hot-air balloon, Genesis measures a 40∘ angle of depression to a landmark that’s 799 feet away, measuring horizontally. What’s the balloon’s vertical distance above the ground? Round your answer to the nearest hundredth of a foot if necessary.
670.44
If a tree has a height of 55 feet, what would be the angle of elevation from level ground measured from 65 feet away? Round your answer to the nearest tenth of a degree.
40.2º
Slide 16
2sqrt5
An altitude is drawn from the vertex of an isosceles triangle, forming a right angle and two congruent triangles. As a result, the altitude cuts the base into two equal segments. The length of the altitude is 13 inches, and the length of the base is 8 inches. Find the triangle’s perimeter. Round to the nearest tenth of an inch.
35.2
A 35 foot ladder is set against the side of a house so that it reaches up 28 feet. If Bentley grabs the ladder at its base and pulls it 4 feet farther from the house, how far up the side of the house will the ladder reach now? (The answer is not 24 ft.) Round to the nearest tenth of a foot.
24.5 ft
Mr. Friede is flying a kite, holding his hands a distance of 3.75 feet above the ground and letting all the kite’s string out. He measures the angle of elevation from her hand to the kite to be 26∘. If the string from the kite to her hand is 135 feet long, how many feet is the kite above the ground? Round your answer to the nearest tenth of a foot if necessary.
62.9
Jin leans a 16-foot ladder against a wall. If the ladder reaches 14.9 feet up the wall, what angle does it form with the wall? Round your answer to the nearest tenth of a degree.
21.4º
Slide 17
2sqrt3
Slide 5
8 cm