Right-Angle Rumble: The Pythagoras & Sine Showdown

Right-Angle Real-World Riddles

100

A window of a burning building is 40 feet above the ground. The base of a ladder is placed 9 feet from the building. How long must the ladder be to reach the window?

What is 41 ft?

200

Kristin and her family left their campsite for a hike. They hiked 5km west and then 2 mi north. How far were they as a crow flies from the campsite?

What is 5.95km?

300

Bob has a 37’ rope that he has attached to the top of a 20’ flagpole. How far will he have to anchor it from the ground?

What is 31.13 ft?

400

A television screen may be described in terms of the diagonal measure of its screen If you have a 50” TV screen and it is 24” high. How wide is it?

What is 43.86 inches?

500

A rectangle is 6 m wide and 11 m long. How long is the diagonal of the rectangle?

What is 12.53m?

Where’s the Leg?!

100

Calculate:

Hypotenuse = 5

leg =  4

leg = ?

What is 3?

200

Hypotenuse = 10m

Leg = 8m

Leg = ?

What is 6?

300

Hypotenuse = 13.73m

Leg = 11.3m

Leg =?

What is 7.8m? 

400

Hypotenuse = 21.5m

Leg = 19.83m

Leg =?

What is 8.3m?

500

Hypotenuse = 7.82m

Leg = 7.11m

Leg = ?

What is 3.26m?

Angles on the Loose

100

Convert 0.3907 to a degree angles

What is sin 23⁰?

200

Convert 0.9510 to a degree angle

What is sin 72⁰?

300

Convert sin 58⁰ to decimals 

What is 0.8480?

400

Convert 0.6518 to a degree angle.

What is 41⁰?

500

Find the degree for 0.2419

What is 14⁰?

Sine Me Up!

100

Given: 

Hypotenuse = 4.3cm

Reference angle = 46⁰

Opposite =?

Hint: SOH

What is 3.09cm?

200

Reference angle = 65⁰

Opposite = 6 ft

Hypotenuse = ?

What is 6.62 ft?

300

Hypotenuse = 9.7cm

Reference Angle = 32⁰

Opposite = ?

What is 5.14cm?

400

Reference Angle = 42⁰

Opposite = 4m

Hypotenuse = ?

What is 5.98m?

500

Hypotenuse = 11.2 ft

Opposite = 7.3 ft

Solve for the angle

What is 41⁰?