Solve each proportion examples 1 and 2 1.5 6 = 10p p =
1 answer:
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Answer:
<em>2.5 hours</em>
<u>Skills needed: Speed, distance, time problems</u>
Step-by-step explanation:
1) We are given speed and distance, and have to find out the the time (in hours).
- In terms of units, everything is matched up (Since distance and speed use kilometers, and speed and time use hours).
- Time is always the distance you travelled (how far) divided by how fast you travelled (the rate/speed)
---> We can use the formula for time:
t= time
d=distance
r=rate/speed
2) Now, let's plug in for distance and rate.
--->
2.5 hours is the answer.
Since RT is perpendicular to the river, you have that segment CT is perpendicular to RT and, thus, CT⊥RB, because point B lies in a straight line with points R and B. Angles TCR and TCB are congruent (she walks from C in a direction that makes the same angle as TCR with the river bank on her side of the river).
This means that triangle CRB is isosceles triangle with base BR and height CT, because height CT is also a bisector of angle BCR.
The height CT divides triangle BCR into two right triangles BCT and RCT, where:
- CT is common leg;
- ∠TCR≅∠TCB,
then by LA Theorem these two triangles are congruent (ΔBCT≅ΔRCT).
Congruent triangles have congruent corresponding sides:
- BC≅RC;
- CT≅CT;
- BT≅TR.
If BT turns out to be 75 yards, then TR=75 yards.
By the Pythagorean theorem,
If then distance from the spot to the rock is
Answer: RT=75 yards, yards.
