IM Geo Unit 4 Lessons 1-5 Practice

What is the length of x?

• 3

• $3\sqrt{2}$

• 6

• $\frac{3}{\sqrt{2}}$

What is the value of x?

• 10

• $20\sqrt{3}$

• $10\sqrt{3}$

• $\frac{20}{\sqrt{3}}$

What is the value of y?

• 10

• $20\sqrt{3}$

• $10\sqrt{3}$

• $\frac{20}{\sqrt{3}}$

A square has a diagonal of 12. How long is the side of the square?

• 12

• $12\sqrt{2}$

• $\frac{12}{\sqrt{2}}$

• 6

In triangle PQR, angel P is theta. What is the opposite leg?

• PQ

• QR

• PR

In triangle PQR, angel P is theta. What is the adjacent leg?

• PQ

• QR

• PR

Estimate the value of Theta. (Use the Right Triangle Table)

A hot air balloon is tethered to the ground with 2 straight ropes, the one rope is 110 feet long and makes a 50 degree angle with the ground. The 2nd rope makes a 90 degree angle with the ground. How long is this rope? Round to the nearest 100th.

• 70.73 feet

• 143.60 feet

• 131.12 feet

• 84.26 feet