Pythagorean Theorem and Trigonometric Ratio 1

Pythagorean Theorem is used to find ...

• angles in an Isosceles triangle

• sides in a Right triangle

• angles in a Right triangle

• sides in an Equilateral triangle

Don placed a ladder against the side of his house as shown in the diagram below. Which equation could be used to find the distance, x, from the foot of the ladder to the base of the house? [Round to the nearest tenth]

• 4.4 feet

• 4.44 feet

• 27.9 feet

• 20 feet

The triangle shown which side represents the hypotenuse

• a

• b

• c

• none of the above

The Cablevision Communications Company must run a telephone line between two poles at opposite ends of a lake, as shown in the accompanying diagram. The length and width of the lake are 75 feet and 30 feet, respectively. What is the distance between the two poles, to the nearest foot?

• 105

• 81

• 69

• 45

Use the diagram given to identify the answer that does NOT belong

• Find the length of the longest side

• Find the length of the longest leg

• Find the length of the hypotenuse

• Find the length of the side opposite the right triangle

In a Right triangle the the adjacent side to angle A is ...

• opposite to angle A

• Next to angle A and is the longest side

• Next to angle A but is NOT the longest side

• the longest side

Which ratio represents Cos A in the accompanying diagram of triangle ABC?

In JKL, m∠K = 90. If JL = 25 and JK = 24, which statement is not true?

Yolanda is making a springboard to use for gymnastics. She has 8-inch-tall springs and wants to form a 16.5° angle with the base, as modeled in the diagram below. To the nearest tenth of an inch, what will be the length of the springboard, x?

• 2.3

• 8.3

• 27

• 28.2

A ladder 20 feet long leans against a building, forming an angle of 71° with the level ground. To the nearest foot, how high up the wall of the building does the ladder touch the building?

• 15

• 16

• 18

• 19