3D Applications of Pythagorean Theorem

Find the value of x, round your answer to the nearest hundredth.

Mathematical Equivalence

ON

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

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

Study the figure below, which illustrates a dilemma facing the Gainesville City Council. They are going to build a footbridge connecting City Hall to the Municipal Outhouse, because a number of citizens have perished while crossing Big Swamp. The distance from the Court House directly south to City Hall is 1440 feet, and the distance from the Court House directly west to the Municipal Outhouse is 1512 feet. Find the cost of the footbridge, assuming that such a structure costs $21 per foot.

• $43,848

• $54,810

• $61,992

• $65,772

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

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

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

• 1000ft

• 100ft

• 42.7ft

• 31.6ft

Ashley is building a garden and she wants it to be 40' long. She knows that the diagonal measure of the plot is 50'. What is the width?

• 30 feet

• 50 feet

• 40 feet

• 20 feet

You need a ladder that will reach up a 25 foot tall house when placed 10 feet away from the house. How tall does the ladder need to be?

• 25 feet

• 26 feet

• 27 feet

• 28 feet