96 cm
1 answer:
Answer:
The length of AB is 48 centimeters.
Step-by-step explanation:
According to the given information, AC is the hypotenuse of the right triangle, since it is opposed to a right angle (angle B). BC is the leg adjacent to angle B, whereas AB is the leg opposed to angle C. Then, we can find the length of AB by the following trigonometric identity:
(1)
If we know that and
, then the length of
is:
The length of AB is 48 centimeters.
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Answer:
3.2 km/h
Step-by-step explanation:
1. Approach
The average speed is the rate at which one travels. It can be found by diving the total distance traveled over the total time it took to cover that distance. In essence, the following formula can be used to find the average speed:
In this situation, one is asked to find the difference between two people's average speed. One is given the following information:
Lena: 24 miles 1.5 hours
Ras: 36km 1 hour 15 minutes
First, convert all of the numbers into the correct units (km) and (hours). Then find the average speed for each person. Finally, subtract the smaller speed from the larger speed to find the difference in the average speeds.
1. Find Lena's average speed
The problem asks one to find the average speed in the units (km/h). However, the distance Lena covered is given in (miles). Therefore, one has to multiply it by the conversion factor (1.6) in order to convert it from (miles) to (km).
24miles * 1.6 = 38.4
Now find the average speed by using the formula:
Substitute,
2. Find Ras's average speed
Use a similar approach to work out Ras's average speed, as was used to find Lena's average speed. Since Ras's time spent is given in both hours and minutes, one must convert it to just minutes. There are (60) minutes in an hour, thus, one can rewrite the number as the following:
Now find the average speed:
Substitute,
3. Find the difference between the speeds
Since Ras's speed is greater, subtract Lena's speed from Ras's speed.
Ras - Lena
= 28.8 - 25.6
= 3.2