Warmup 11-11

Find the lengths of the sides marked with a variable in each problem below. Show work! 48 y1 30 90 2. 90 x 42 x y 45

3. 262 4. 90 45 y x y x 90 60

123 Z 20 X 5. Find cos X 6. Solve for x A and sin Y 48 52 32 x Y B 24 C 7. Find the width and length of a rectangle with a diagonal = 44.

Warmup 11-11

Find the lengths of the sides marked with a variable in each problem below. Show work! x 13.521 30 90 2. 90 y x 185 y 45

3. x 4. 90 45 49 x y 243 90 60

y Z 20 X 5. Find tan X 6. Solve for x A and cos Y 48 52 32 Y B 18 C x 7. Find the length and diagonal of a rectangle with a width = 173.

Three pictures distance boat has drifted from

1. 2. anchor

length of how far length depth ladder up wall top of of water of ladder is rope where (height of wall) anchor was dropped distance from base of ladder to wall

3.

height of person or object

length of shadow

Notes: Word Problem for Trig Ratios(Finding Sides)

1. A 25 foot ladder is leaning against a wall. If the angle formed between the base of the ladder and the ground is 31 degrees: a. Find the height of the wall b. Find the distance from the base of the ladder to the wall.

2. A boat has drifted away from its anchor. If the boat is 56ft from where the anchor was originally dropped and the angle between the water and the rope is 29 degrees: a. find the depth of the water from where the was originally dropped. b. find the length of the rope

3. A 6ft person is standing in the sunshine. If the angle formed between the person’s shadow and the ground is 12 degrees, find the length of their shadow.

4. Using the situation in #1 above, if the wall is 42ft and the angle between the top of the wall and the top of the ladder is 73 degrees: a. Find the length of the ladder. b. Find how far the base of the ladder is from the wall.

Examples: Word Problem for Trig Ratios(Finding Sides)

1. A 30ft ladder is leaning against a wall. If the angle between the base of the ladder and the ground is 36 degrees, find the distance from the base of the ladder to the wall.

2. A boat has drifted 38ft away from where its anchor was dropped. If angle between the water and the rope is 15 degrees, find the depth of the water where the anchor was dropped.

3. A 5ft person is standing out in the sunshine. If the angle formed between the person’s shadow and the ground is 22 degrees, find the length of the person’s shadow.

4 A ladder is leaning against a wall. The top of the ladder is 22ft up the wall. If the angle formed between the base of the ladder and the ground is 35 degrees, find the length of the ladder.

5. A boat has drifted away from its anchor. The rope has extended to a length of 45ft. If the angle between the water and the rope is 31 degrees, find how far the boat has drifted from where the anchor was originally dropped.

PracticeWord problems using sine, cosine, or

tangent(finding sides)

6. A tree casts a shadow that is 18ft long. If the angle formed between the ground and the base of the tree is 47 degrees, how tall is the tree?

7. A ladder is leaning against a wall. The base of the ladder is 11ft from the base of the wall. If the angle formed between the base of the ladder and the ground is 29 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 water and the rope is 44 degrees, find the length of the rope.

PracticeWord problems using sine, cosine, or

tangent(finding sides)