Geometry Quiz

What theorem is applied to the right triangle in the image?

In the Pythagorean Theorem, what is the formula for the relationship between the sides of a right triangle?

In the given formula 1 = (b/a)^2 + (c/a)^2, what does 'a' represent?

Which student presented the correct values for sine and cosine of the angle α?

• Student 1

• Student 2

• Student 3

• None of the above

What is the angle of vision from the engineer's initial point to the top of the building?

• A) 49°

• B) 60°

• C) 87°

• D) 50°

How far does the engineer move back in a straight line?

• A) 10 meters

• B) 15 meters

• C) 20 meters

• D) 25 meters

What is the angle measured by the theodolite after the engineer moves back?

• A) 49°

• B) 60°

• C) 87°

• D) 50°

What is the value of the sine of 60° given in the text?

• A) 0.5

• B) 1.15

• C) 0.87

• D) 0.49

What is the value of the tangent of 49° given in the text?

• A) 0.5

• B) 1.15

• C) 0.87

• D) 0.49