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Chapter 10: Problem 66

Describe each type of angle: acute, right, obtuse, and straight.

Short Answer

Expert verified
An acute angle is greater than 0 degrees but less than 90 degrees. A right angle is exactly 90 degrees. An obtuse angle is more than 90 degrees but less than 180 degrees. A straight angle is exactly 180 degrees.

Step by step solution

01

Define Acute Angle

An acute angle is any angle whose measure is greater than 0 degrees but less than 90 degrees. It is smaller than a right angle.
02

Define Right Angle

A right angle is an angle of exactly 90 degrees. This is the type of angle that you will see when two perfect perpendicular lines meet.
03

Define Obtuse Angle

An obtuse angle is an angle greater than 90 degrees but less than 180 degrees. It's larger than a right angle. If you were to draw this type of angle, it would like a 'V' shape that鈥檚 been stretched open.
04

Define Straight Angle

A straight angle is an angle of 180 degrees. It's the angle that you see when you look at a straight line, as the name suggests. It's like half of a complete circle.

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Most popular questions from this chapter

The Statue of Liberty is approximately 305 feet tall. If the angle of elevation of a ship to the top of the statue is \(23.7^{\circ}\), how far, to the nearest foot, is the ship from the statue's base?

Use the Pythagorean Theorem to solve Exercises 39-46. Use your calculator to find square roots, rounding, if necessary, to the nearest tenth. A rectangular garden bed measures 5 feet by 12 feet. A water faucet is located at one corner of the garden bed. A hose will be connected to the water faucet. The hose must be long enough to reach the opposite corner of the garden bed when stretched straight. Find the required length of hose.

A plane rises from take-off and flies at an angle of \(10^{\circ}\) with the horizontal runway. When it has gained 500 feet in altitude, find the distance, to the nearest foot, the plane has flown.

Explain why the sine or cosine of an acute angle cannot be greater than or equal to 1 .

The measure of the angle is \(56^{\circ}\) greater than its complement.
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