3D Applications of Pythagorean Theorem

What is the distance between the sailboat and the top of the lighthouse? (Round to the nearest tenth).

• 205m

• 181.7

• 33025m

• 5m

The dimensions of a flatscreen television are 15 in and 20 in. What is the length of the diagonal across the TV?

• √144in

• √125 in

• 25in

• 35in

What is the distance between the person and the top of the tree?

• 1000ft

• 100ft

• 42.7ft

• 31.6ft

A baseball "diamond" is actually a square with sides of 90 feet. If a runner tries to steal second base, how far must the catcher, at home plate, throw to get the runner "out"? (Distance across the diagonal)

• 180 feet

• 90 feet

• 13.4 feet

• 127.3 feet

The diagram below shows a telephone pole supported by a guide wire. The telephone pole is 40 feet tall and the bottom of the guide wire is 12 feet from the base of the pole.  

How long is the guide wire?

Nearest tenth

Mathematical Equivalence

ON

Find h (hint: it is NOT 60 ft!)

Mathematical Equivalence

ON

During a recent storm, a tree was blown over. The top of the tree landed 18 feet from the bottom of the tree.  

Which is the closest to the original height of the tree?

Nearest whole number

Mathematical Equivalence

ON

Betsy has raised a flag on a 91-foot-high flag pole. The flag pole is supported by 5 wires, each of which is attached to the flag pole at a place that is 19 feet from the top of the pole and attached to the ground at a place that is 54 feet from the base of the pole. Find the total length of all 5 wires.

• 450 feet

• 225 feet

• 338 feet

• 90 feet

Find the area of the missing square off of leg A if the area of one square is 369 and the area of another is 81?

• 21.2

• 17

• 450

• 288

Find the missing diagonal length of the 3 dimensional figure. Approximate your answers.

• 10.1

• 11.18

• 7.8

• 3.93