Trigonometry (SOHCAHTOA)
Trigonometry Word Problems
Sine Law
100
Find the length of BC in triangle ABC.
11.31
100
Jimmy is 25dm from the base of a tree. The angle of elevation to the top of the tree is 51°. Determine the height of the tree.
30.87dm
100
Find the side length BC in the triangle ABC below.
12.25m
200
Find the angle ABC in triangle ABC.
50.48 degrees
200
On a windy day, a 90 foot rope tightly secures a hot air balloon to a stake in the ground. From the balloon, the angle of depression of the stake is 62º. Find, to the nearest foot, the height of the balloon, assuming the wind to be constant.
79.47'
200
Find angle ABC in the triangle ABC below to the nearest degree.
34 degrees
300
Find angle ABC if side length AB is half of side length AC in triangle ABC.
63.43 degrees
300
Evelyn Granville, who is 1.5 m tall, is standing 20 m from the base of a building. She sights the top of the building with an angle of elevation of 58°. Find the height of the building.
33.51 m
300
Find the angle BAC in the triangle ABC below to the nearest degree.
124 degrees
400
Find angle BAD in the right trapezoid below.
60.26 degrees
400
Jimmy and Jenny are standing 100m apart. Between them is a tree. Jimmy's angle of elevation to the top of the tree is 20°. Jenny's angle of elevation to the top of the tree is 30°. Determine BOTH of their distances from the tree.
Jimmy = 61.3 m
Jenny = 38.7 m
400
A helicopter flies over a highway to catch two cars with speeding to the colts and dolphins playoff game. Rendon sees the helicopter from his car at an angle of 53 degrees while Bryan sees it from his truck at an angle of 78 degrees. If Rendon's car is 48km from the helicopter, how far apart (x) are Bryan and Rendon?
37.04 km
500
Find the length of CD.
3.80 units
500
A pilot heading north spots two fires. The fire to the east is found at an angle of depression of 47°. The fire to the west is found at an angle of depression of 38°. Given that the plane’s elevation is 2400 m, determine the distance between the two fires.
5,309.90m
500
What is the value of x in the triangle below?
61 degrees