Trig Application Questions

You are attacking an enemy castle. Your strategy is to go over the castle wall. You are 1500 meters away from the bottom of the wall. You measure the angle of elevation to the top of the wall at 3^o. How tall is the enemy castle wall?

• 78.6 meters

• 1498.0 meters

• 78.5 meters

• 75.3 meters

When the angle of elevation of the sun is 78 degrees, a statue casts a shadow that is 6m long. How far is the top of the statue to the end of its shadow?

• 1.2 m
• 28.9 m
• 6.1 m
• 28.2 m

 A ladder is leaning against a wall as shown in the image. How high is the point where the ladder touches the wall from the ground (side AB)?

• 20 m
• 5 m
• 11.54 m
• 8.66 m

Elizabeth 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

Kevin leans a 5m ladder against a building. If the angle the ladder makes with the ground is 68°, how far from the building is the foot of the ladder?

• 13.35 m

• 12.38 m

• 1.87 m

• 4.64 m

Find the missing distance (d).

• 18.9 meters
• 19.5 meters
• 47.2 meters
• 27.5 meters

To get from point A to point B you must avoid walking through a pond.  To avoid the pond, you must walk 34 meters south and 41 meters east.  To the nearest meter, how many meters would be saved if it were possible to walk through the pond? 

• 35
• 22
• 53

• 75

The bottom of a ladder leaning against a wall is 1.5 m from the bottom of the wall. The ladder is 5.5 m long. What is the size of the angle the ladder makes with the ground?

The bottom of a ladder leaning against a wall is 1.5 m from the bottom of the wall. The ladder is 5.5 m long. What is the distance from the bottom of the wall to where the ladder is touching the wall?

• 4m

• 5.3m

• 5.7m

• 7m

Jordan is at the top of a Ferris wheel. Her mother is standing 12m from the base of the wheel watching her. If the angle of elevation from Jordan's mom to Jordan is 73^o, how far off the ground is Jordan?

• 3.7m

• 2.9m

• 39m

• 3.5m