Tangent and Triangle Properties

The video tutorial explains how to find the angle a tent makes with the ground using trigonometry. The problem is introduced with measurements of the tent and pole. The tent is split to form a right triangle, and the tangent function is used to find the angle. The calculation involves using the inverse tangent function, and the result is rounded to 50 degrees.

What is the length of the pole in the problem?

• 5

• 6

• 10

• 12

How is the base of the tent divided to form a right triangle?

• Into two equal parts of 10

• Into two equal parts of 6

• Into two equal parts of 3

• Into two equal parts of 5

Which sides of the triangle are used to set up the tangent equation?

• Hypotenuse and opposite

• Adjacent and hypotenuse

• Hypotenuse and adjacent

• Opposite and adjacent

What is the formula for tangent in this context?

• Tangent = opposite/adjacent

• Tangent = adjacent/opposite

• Tangent = hypotenuse/opposite

• Tangent = hypotenuse/adjacent

What is the value of the tangent of the angle in the problem?

• 10/6

• 5/6

• 6/10

• 6/5

What is the calculated angle rounded to the nearest degree?

• 60°

• 50°

• 45°

• 55°

Which function is used to find the angle from the tangent value?

• Sine

• Cosine

• Inverse Sine

• Inverse Tangent