Ticket in the door 11-12
Sine,cosine, tangent application problems
1. A ladder is leaning against a wall. The top of the ladder is 15ft up the
wall. If the angle between the base of the ladder and the ground is 43
degrees, find the distance from the base of the ladder to the wall.
2. A boat has drifted 24ft away from where its anchor was dropped. If
angle between the water and the rope is 28 degrees, find the length of
the rope.
3 An 18 foot ladder is leaning against a wall. If the angle formed
between the base of the ladder and the ground is 51 degrees, find
the height of the wall.
Extra Practice
Word problems using sine, cosine, or tangent(finding sides)
1. A 24ft ladder is leaning against a wall. If the angle between the base
of the ladder and the ground is 51 degrees, find height of the wall the ladder
Is leaning against.
2. A boat has drifted 42ft away from where its anchor was dropped. If
angle between the water and the rope is 33 degrees, find the length of the rope.
3. A flag pole is 20ft tall. If the angle formed between the pole’s shadow and the
ground is 37 degrees, find the length of the shadow cast by the pole.
4. A ladder is leaning against a wall. The top of the ladder is pulled out 14ft from
the wall. If the angle formed between the base of the ladder and the ground
is 20 degrees, find the length of the ladder.
5. A boat has drifted away from its anchor. The depth of the water where the
anchor was originally dropped in 40ft. If the angle between the water and the rope
is 47 degrees, find how far the boat has drifted from where the anchor was originally
dropped.
Extra Practice
Word problems using sine, cosine, or tangent(finding sides)
6. A building casts a shadow that is 22ft long. If the angle formed by the top of the
building and the sunlight hitting it is 51 degrees, how far is it from the top of the
building to the ground?
7. A ladder is leaning against a wall. The base of the ladder is 19ft from the base
of the wall. If the angle formed between the top of the ladder and the wall
is 64 degrees, find the length of the ladder.
8. A boat has drifted away from its anchor. The depth of the water where the
anchor was originally dropped in 14ft. If the angle between the anchor and the rope
is 44 degrees, find how far the boat has drifted from where the anchor was originally
dropped.