Trig word problems

A photographer is positioned on a cliff 15 feet above water. She is 40 feet from another cliff. There are puffins perched at the top of this cliff. As she looks up at the puffins, her angle of elevation with the horizontal is 28 degrees. How high above the water are the puffins? Round to the nearest foot.

• 15

• 36

• 21.26

• 36.26

A point on the top of the Leaning Tower of Pisa is shifted about 13.5 feet horizontally compared with the tower's base. The height of the tower is 154 feet. To the nearest degree, how many degrees does the tower tilt from vertical?

• a. 84.99

• b. 5

• c. 85

• d. 4.01

A commercial airline pilot is flying at an altitude of 6.5 miles. To make a gentle descent for landing, the pilot begins descending toward the airport when still fairly far away. If the pilot begins descending 186 miles from the airport (measured on the ground), what angle will the pilot’s path make with the runway (without further adjustment)?

• a. 88

• b. 87.99

• c. 2.01

• d. 2

The pilot of a helicopter measures the angle of depression to a landing spot on a glacier to be 18.8 degrees. If the pilot's altitude is 1640 meters, what is the horizontal distance to the landing spot to the nearest meter?

• 4817

• 4817.47

• 558.30

• 558

A commercial airline pilot is flying at an altitude of 6.5 miles. To make a gentle descent for landing, the pilot begins descending toward the airport when still fairly far away. If the plane's path is to make an angle of 5 degrees with the runway (without further adjustment), how far from the airport (measured on the ground) must the pilot begin descending?

• a. 6

• b. 5.69

• c. 74.3

• d. 74

An airplane is flying at an altitude of 6000 m over the ocean directly toward a coastline. At a certain time, the angle of depression to the coastline from the airplane is 14°. How much farther (to the nearest kilometer) does the airplane have to fly before it is directly above the coastline? (there are 1000 meters in a kilometer)

• a. 24064.69

• b. 24000

• c. 24 km

• d. 24064

From a horizontal distance of 80.0 m, the angle of elevation to the top of a flagpole is 18°. Calculate the height of the flagpole to the nearest tenth of a metre.

• a. 246.21

• b. 246

• c. 25.99

• d. 26

The angle of elevation of the sun is 68 degrees when a tree casts a shadow 14.3 m long. How tall is the tree, to the nearest tenth of a metre?

• a. 5.8

• b. 35.39

• c. 35.4

• d. 35

A wheelchair ramp is 4.2 m long. It rises 0.7 m. What is its angle of inclination to the nearest degree?

• a. 10

• b. 9.59

• c. 9.6

• d. 9.46

A person flying a kite has released 176 m of string. The string makes an angle of 27° with the ground. How high is the kite? Answer to the nearest metre.

• a. 387.67

• b. 80

• c. 79.90

• d. 388