Trig Applications

Front

What is the total distance traveled by Casey if she goes 17 miles west and 23 miles north?

Back

40 miles

Front

If a hawk swoops down at a 30-degree angle to catch a mouse 15 feet away from the tree, what is the distance from the tree branch to the mouse?

Back

30 ft

Front

A kite is flying 78 ft above the ground. If the angle of elevation is 65 degrees, what is the length of the string?

Back

86.1 ft.

Front

Which trig function is used to find the missing angle when you know the opposite and adjacent sides?

Back

Tangent

Front

If a 14 ft ladder is leaning against a house and the bottom is 8 ft away, what is the angle of elevation of the ladder?

Back

55.2 degrees

Front

What is the sine function used for in trigonometry?

Back

To find the ratio of the length of the opposite side to the hypotenuse.

Front

What does the cosine function represent in a right triangle?

Back

The ratio of the length of the adjacent side to the hypotenuse.

Front

What is the tangent function in terms of sine and cosine?

Back

Tangent = Sine / Cosine.

Front

If the height of a triangle is 10 ft and the base is 5 ft, what is the area of the triangle?

Back

Area = 0.5 * base * height = 25 ft².

Front

What is the Pythagorean theorem?

Back

In a right triangle, a² + b² = c², where c is the hypotenuse.