Area with Missing Base or Height

Solve for the missing distance.

• 18.9

• 19.5

• 47.3

• 27.5

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

• 63.6 ft

• 1.59 ft

• 74.2 ft

• 86.9 ft

A yacht is anchored 90 feet offshore from the base of a lighthouse.  The angle of elevation from the boat to the top of the lighthouse is 26 degrees.  Which of these is nearest to the height of the lighthouse? 

• 25 feet

• 44 feet 

• 110 feet 

• 135 feet 

A hawk sitting on a tree branch spots a mouse on the ground 15 feet from the base of the tree.  The hawk swoops down toward the mouse at an angle of 30 degrees. Would you estimate the distance from the tree branch to the mouse to be less than, greater than, or equal to 15ft? 

• greater than 15ft

• less than 15ft

• equal to 15ft

What is the height of the triangle?

• 75 cm ²

• 7.5 cm

• 7.5 cm ²

• 8 cm ²

The area of STU is 108 square inches. What is the height of the triangle?

• 90 in ²

• 24 in

• 9 in

• 9 in ²

What is the height of the triangle?

• 10 cm

• 20 cm

• 10 cm²

• 20 cm²

What is the height of triangle XYZ?

• 24 ft

• 12 ft

• 24 ft²

• 12 ft²

What is the BASE of triangle DEF?

• 18 yd²

• 9 yd²

• 9 yd

• 18 yd

What is the BASE of triangle LMN?

• 16 cm²

• 8 cm²

• 8 cm

• 16 cm