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Right Angle Triangle Problems

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Questions and Answers

In a right triangle, if the length of the hypotenuse is 5 and one of the legs is 3, what is the length of the other leg?

$\sqrt{16}$ (correct)

$\sqrt{25}$

$4$

$\sqrt{28}$

What is the measure of an angle in a right triangle if the angle's cosine is 3/5?

53.13 (correct)

36.87

In a right triangle, if one angle measures 30, what is the measure of the other acute angle?

60 (correct)

A ladder leans against a wall, forming a right triangle. If the ladder is 10 feet long and the wall is 6 feet away from the base of the ladder, what is the height of the ladder on the wall?

<p>8 feet</p> Signup and view all the answers

A triangle has angles of 30, 60, and x. What is the value of x?

<p>90</p> Signup and view all the answers

Study Notes

Rectangular Angles

Finding measures of rectangular angles: involves solving for unknown angles in right-angled triangles
Finding sides of rectangular angles: uses trigonometric ratios to determine unknown side lengths
Applications of rectangular angles: solves real-world problems involving right-angled triangles

Problem Solving

Problems may involve finding unknown angles or side lengths in rectangular triangles
Applications may include calculating heights, distances, or angles in various fields such as physics, engineering, or architecture
One random problem may be: "A building is 15 meters tall, and the distance from the base to the point on the ground where the top touches is 20 meters. What is the angle of elevation?"

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Description

Solve problems involving right angle triangles, including finding measures of angles and sides, and applying them to real-world scenarios.