Master solving word problems using inverse trigonometry

The video tutorial explains how to solve word problems using inverse trigonometry. It covers the basic trigonometric functions and their inverses, focusing on finding angles in right triangles. Three examples are provided: a ladder leaning against a wall, calculating the angle of elevation to a building, and determining the angle of elevation of a wire attached to a tower. Each example demonstrates the use of inverse trigonometric functions—cosine, tangent, and sine—to solve for unknown angles.

What is the primary goal when using inverse trigonometry in word problems?

• To determine the angle in a right triangle

• To calculate the area of a triangle

• To find the length of the hypotenuse

• To measure the perimeter of a triangle

In the ladder problem, which trigonometric function is used to find the angle with the ground?

• Sine

• Tangent

• Cosine

• Secant

What is the length of the ladder in the problem discussed?

• 20 feet

• 15 feet

• 25 feet

• 30 feet

In the building problem, what is the distance from the observer to the base of the building?

• 1500 feet

• 1000 feet

• 1200 feet

• 1300 feet

Which trigonometric function is used to solve the building problem?

• Tangent

• Cotangent

• Sine

• Cosine

In the wire and tower problem, what is the height of the tower?

• 350 feet

• 370 feet

• 400 feet

• 390 feet

Which trigonometric function is used to find the angle of elevation in the wire and tower problem?

• Sine

• Cosecant

• Cosine

• Tangent