Trig Word Problems

An airplane takes off 200 yards in front of a 60 foot building. At what angle of elevation must the plane take off in order to avoid crashing into the building?
HINT: Assume this is a right triangle.

• 73.30
• 16.70
• 17.46
• 21.84

Tags

CCSS.HSG.SRT.C.8

A building 62 feet tall casts a shadow 21 meters long.  At what angle is the sun shining on the building?
HINT: Assume this is a right triangle.

• 19.80
• 18.71
• 70.20
• 71.29

Tags

CCSS.HSG.SRT.C.8

Susan is flying a kite, which gets caught in the top of a tree.  Use the diagram to estimate the height of the tree.
HINT: Assume this is a right triangle.

• 63 ft
• 65 ft
• 74 ft
• 87 ft

Tags

CCSS.HSG.SRT.C.8

A vertical tower is 20 m high from the horizontal ground. The angle of depression of a ball from the top of the tower is 42°. Calculate the distance, in m, of the ball from the base of the tower.
HINT: Assume this is a right triangle.

• 18.01 m
• 29.89 m
• 13.38 m
• 22.21 m

Tags

CCSS.HSG.SRT.C.8

Parker must find the distance from Point A to Point B on opposite sides of a lake.  He locates Point C that is 860 feet from point A and 175 feet from Point B.  He measures the angle at Point C to be 78 degrees.  Find the distance from point A to point B.
HINT: This might not be a right triangle.

• 707643.58
• 841.22
• 877.62
• 842.01

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Jack is flying his kite.  He runs 100 feet away from his house and lets out 75 feet of string.  The angle of elevation from the ground to the kite is 65 degrees.  How far away is the kite from the house?
HINT: This might not be a right triangle.

• 9285.73
• 96.36
• 24061.81
• 155.12

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11