Height and Distance

Q1. What is the angle of a right triangle?

• 30°

• 60°

• 45°

• 90°

Heather went on a hot air balloon ride for her birthday. It was 520m from the ground. A building was 450m tall. The angle of elevation from the balloon fto the building is 10° , find the horizontal distance from the balloon to the building in meters.

• 512 m

• 414 m

• 403 m

• 397 m

Kiara's 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. The distance between the yacht and the top of the lighthouse is about 100 feet.Find the height of the lighthouse.

• 25 feet

• 45 feet

• 110 feet

• 135 feet

The length of the shadow of a 4 m high vertical pole on the level ground at an instant when the sun elevation is 60° is___

• 2 m

• 4√3 m

• 4⁄√3 m 

• 4 m

• 5 units

• 6 units

• 8 units

• 10 units

The ratio of the length of the pole and its shadow is 1 : √3.  The angle of elevation of the sun is ____

• 30°

• 60°

• 45°

• 90°

• 10 cm

• 10√3 cm

• 5 cm

• 20 cm

The angle of elevation of the top of a tower is 30°.  If the height of the tower is doubled then the angle of elevation of the top will be_____

• No change: 30°

• Will be doubled : 60°

• will become 45°

• None of the above

Solve for the misssing distance

• 18.9 meters

• 19.5 meters

• 47.2 meters

• 27.5 meters

Kevin leans a 16 foot ladder l against a building. If the angle the ladder makes with the ground is 68°, how high up the building does the ladder reach?

• 39.6

• 6.0

• 14.8

• 13.6