Day 1 Leap Review

Front

A tree outside Ellie's building casts a 125 foot shadow. At the same time of day, Ellie casts a 5.5 foot shadow. If Ellie is 4.5 feet tall, how tall is the tree?

Back

102 feet

Front

A sector of a circle has a central angle of 80° and an arc length of 4π units. What is the length, in units of the radius of the circle?

Back

9 units

Front

Choose the correct ratio for angle 37°: sin(37)=x/14, cos(37)=x/14, tan(37)=x/14, sin(37)=14/x

Back

cos(37)=x/14

Front

Back

75

Front

What is the angle that a 5 foot ramp makes with the ground if it is 8 feet away from a building?

Back

Use trigonometric ratios to find the angle.

Front

What is the formula for finding the height of an object using similar triangles?

Back

Height = (Shadow Length of Object / Shadow Length of Reference) * Height of Reference

Front

Define the sine function in a right triangle.

Back

Sine = Opposite side / Hypotenuse

Front

Define the cosine function in a right triangle.

Back

Cosine = Adjacent side / Hypotenuse

Front

Define the tangent function in a right triangle.

Back

Tangent = Opposite side / Adjacent side

Front

What is the relationship between sine and cosine for complementary angles?

Back