Height and Distance Trig

Solve for x. Round to the nearest tenth.

• 15.3

• 16.6

• 24.1

• 24.3

A tourist views a deer from a height of 45 feet.  The horizontal distance between the tourist and the deer is 130 feet.  At what angle (x) should the tourist hold his camera to photograph the deer? Round your answer to the nearest degree.  

• 19 degrees

• 45 degrees

• 71 degrees

• 138 degrees 

Set up the problem so that you can solve for X.

• sin X = 41/28

• tan X = 41/28

• cos X = 28/41

• sin X = 28/41

Solve for the missing angle

• 50.5 degrees

• 12.7 degrees

• 36.9 degrees

• 72.2 degrees

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.  The distance between the yacht and the top of the lighthouse is about 100 feet.  Which of these is closest to the height of the lighthouse? 

• 25 feet

• 45 feet 

• 110 feet 

• 135 feet 

When the angle of elevation of the sun is 78 degrees, an statue casts a shadow that is 6m long. How tall is the statue?

• 1.2 m

• 28.9 m

• 6.1 m

• 28.2 m

Which trig function should we use to find the height of the building?

• Sine

• Cosine

• Tangent

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.  The distance between the yacht and the top of the lighthouse is about 100 feet.  Which of these is nearest to the height of the lighthouse? 

• 25 feet

• 45 feet 

• 110 feet 

• 135 feet 

Aaron is flying a kite when he realizes that the 400 feet of string are out. The angle of the string with the ground is 54.4°. How high is Aaron’s kite above the ground?

• 325.24 feet

• 345.6 feet

• 34.97 feet

• 7.35 feet

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?

 

Round to two decimal spots

Mathematical Equivalence

ON