Math 2 - Modeling Geometric Figures Review

A photograph in a catalog has a scale of 2 in: 5 ft. A tent in the photograph is 3 inches long. How long is the tent?

• 7.5 ft

• 8 ft

• 8.5 ft

• 9 ft

• 336 square centimeters

• 110 square meters

• 588 square meters

• 1,029 square meters

Which of the following conditions produces a unique triangle?

• A triangle with angles that have a measure of 20° and 110° with an included side of 7 inches

• A triangle with sides of length 4 feet and 3 feet with a non-included angle that measures 70°

• A triangle with angles that measure 25°, 85° and 60°

• A triangle with angles that measure 14°, 31° and 135°

• 60°

• 140°

• 40°

• 160°

The height of a tower on a scale drawing is 18 centimeters. The scale is 2 cm: 19 m. What is the actual height of the tower?

• 342 m

• 171 m

• 684 m

• 36 m

A group decides to go white-water rafting on a river. The map they have of the river has the scale 3 inches: 7 miles. On the map, the distance between the start point and the end point of their trip is 15 inches. What is the actual distance?

• 49 mi

• 6.43 mi

• 2.33 mi

• 35 mi

On a map, the distance between two cities is 7.3 cm. What is the actual distance between these two cities if the map scale is 1 cm:50 km?

• 365 cm

• 365 km

• 400 km

• 500 km

A map of Australia has a scale of 1 cm : 105 km. If the distance between Hobart and Sydney is 1,063 kilometers, how far apart are they on the map, to the nearest tenth of a centimeter?

• 141 cm

• 10.1 cm

• 1168.4 cm

• 14.1 cm

On a scale drawing with a scale of 1 in:5 ft, a tree is 5 in. tall. How tall is the actual tree?

• 25 in

• 10 ft

• 25 ft

• 30 ft

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