Finding Missing Sides

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Show your work for each problem.

1.
In a right triangle with angle , if you know the hypotenuse and want to find the opposite side, which formula should you use?
1. a)
2. b)
3. c)
4. d)
2.
A ladder meters long leans against a wall at a angle with the ground. Which calculation gives the height the ladder reaches?
1. a)
2. b)
3. c)
4. d)
3.
Calculate: . (Round to one decimal place)
4.
Calculate: . (Round to one decimal place)
5.
From a point m from the base of a tower, the angle of elevation to the top is . Which calculation finds the tower's height?
1. a)
2. b)
3. c)
4. d)
6.
A ramp makes a angle with the ground and rises meters. How long is the ramp? (Round to one decimal place)
7.
A cable meters long supports a pole at an angle of with the ground. How high up the pole does the cable attach?
8.
A plane descends at a angle. After traveling meters along the flight path, how much altitude has it lost?
9.
Which formula would you use to find the adjacent side if you know the hypotenuse and angle ?
1. a)
2. b)
3. c)
4. d)
10.
A guy-wire is anchored meters from the base of a vertical antenna. If the wire makes a angle with the ground, how long is the wire? (Round to one decimal)
11.
A ship sails km on a bearing of east of north. How far east has the ship traveled?
12.
A ski slope is meters long with an angle of . What is the vertical drop of the slope?
13.
A surveyor stands m from the base of a cliff. The angle of elevation to the top is . How tall is the cliff? (Round to one decimal)
14.
A zip line is anchored meters high on a tower and makes a angle with the ground. How long is the zip line cable?
15.
A student calculated to find the hypotenuse. What information did they start with?
1. a)Opposite = m, angle =
2. b)Adjacent = m, angle =
3. c)Hypotenuse = m, angle =
4. d)Adjacent = m, angle =