Word Problems = Sin-Cos-Tan

Susan is flying a kite, which gets caught in the top of a tree.  Use the diagram to estimate the height of the tree. 

• 63 ft
• 65 ft
• 74 ft
• 87 ft

Tags

CCSS.HSG.SRT.C.6

CCSS.HSG.SRT.C.8

From the top of a vertical cliff 40 m high, the angle of depression of an object that is level with the base of   the cliff is 34º.  How far is the object from the base of the cliff?

• about 27 miles
• about 59 miles
• about 72 miles
• about 22 miles

From a point 340 meters from the base of the Hoover Dam, the angle of elevation to the top of the dam is 33°. Find the height of the dam to the nearest meter. 

• 185.18 meters
• 523.55 meters
• 220.80 meters
• 624.27 meters

Tags

CCSS.HSF.TF.A.3

CCSS.HSG.SRT.C.6

CCSS.HSG.SRT.C.8

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 

When the angle of elevation of the sun is 78 degrees, an 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

Tags

CCSS.HSG.SRT.C.6

CCSS.HSG.SRT.C.8

A 40 foot ladder which is leaning against a wall reaches the wall at a point 36 feet above the ground. Find the measure of the angle created between the ladder and the ground. Round to the nearest degree

• 64 degrees
• 26 degrees
• 42 degrees
• I love Math!