Solving Triangles Word Problems

What is the missing Angle?

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The foot of a ladder is placed 6 feet from a wall. If the top of the ladder rests 8 feet up on the wall, how long is the ladder?

• 10 ft

• 14 ft

• 17 ft

• 100 ft

Susan is flying a kite, which gets caught in the top of a tree.  Use the diagram to estimate the height of the tree. 

• 63 ft

• 65 ft

• 74 ft

• 87 ft

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

Find x AND the measure of BD.

• X = 14

  BD = 21

• X = 16

  BD = 25

• X = 18

  BD = 29

• X = 13

  BD = 19

What method(s) is/are used to solve this triangle?

• Pythagorean Theorem

• Special Right Triangles

• Trigonometry

Find, to the nearest degree, the angle which the sun's rays make with the ground when a flagpole 40 feet high casts a shadow 30 feet long.

• 48^o

• 37^o

• 28^o

• 53^o

Which equation can be used to solve the word problem: the diagonal of a t.v. is 40 inches and the height is 30.  How wide is the t.v.?

• 30²  + 40² = c²

• a²  + 40² = 30²

• 30²  + b² = 40²

• 40²  + 30² = c²

Find the length of side y.

• 22.32 cm

• 36.5 cm

• 76.34 cm

• 87.76 cm

What is the length of side x?

• 6.57 cm

• 7 cm

• 7.44 cm

• 26.33 cm