Independent Assessment 2:
Direction: Solve the following Problems.
1. A post 5m high casts a shadow of 6m. If the shadow of a nearby tree is measured to be 24m, how high is the tree?
2. The distance travelled by a falling object varies directly as the square of the time it spends in falling. If a body falls 64ft in 2 seconds, find the distance that it will fall in 10 seconds.
3. The current (1) varies directly as the electromotive force (E) and inversely as the resistance (R). If a current of 30 amperes flows through a system with 16 ohms resistance and electromotive force of 120 volts, find the current that a 200 volts electromotive force will send through the system.
Direction: Solve the following Problems.
1. A post 5m high casts a shadow of 6m. If the shadow of a nearby tree is measured to be 24m, how high is the tree?
2. The distance travelled by a falling object varies directly as the square of the time it spends in falling. If a body falls 64ft in 2 seconds, find the distance that it will fall in 10 seconds.
3. The current (1) varies directly as the electromotive force (E) and inversely as the resistance (R). If a current of 30 amperes flows through a system with 16 ohms resistance and electromotive force of 120 volts, find the current that a 200 volts electromotive force will send through the system.
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Answers & Comments
1. A post 5m high cast a shadow of 6m
if the shadow nearby tree is measured to
be 24 m
the height of tree =
let the height of tree - x
= 5:6::x:24
= 5/6×x/24
x = 24×5/6 = 120 ÷ 6 = 20m
the tree is 20m high
2. 1,600 ft is it from the picture of solution
3. The needed current is 30 amperes.
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