A cordless telephone will work if it is within 50m of its base, If while you are talking on the phone, you walk 15m away from the base in a southerly direction, then, turn to face west and walk 42m, will the phone still work?
Sketch this out. You will see that is a right triangle problem. Use the Pythagorean theorem:
a^2 + b^2 = c^2
where c is the hypotenuse (long side) of the right triangle. a and b are the other sides.
an antelope, a zebra and an ostrich are entred in a 100metre race. if their top speeds are 95 km/h and 50 kn/h,respectively, caculate how many seconds after the antelope the zebra and the ostrich will complete the race?
To determine whether the phone will still work, we need to analyze the distance between the phone and its base after moving. Let's break down the scenario step by step:
1. Start by walking 15m away from the base in a southerly direction. This means that the distance between the phone and the base is now 50m (original range) - 15m (distance moved) = 35m.
2. Next, turn to face west and walk 42m. This means that you are moving in a direction perpendicular to the original distance from the base. To find the new distance between the phone and the base, we can use the Pythagorean theorem, a^2 + b^2 = c^2, where a and b represent the lengths of the perpendicular sides and c represents the hypotenuse.
In this case, the two perpendicular sides are 35m (distance from step 1) and 42m (distance walked west). We can calculate the hypotenuse (new distance from the base) using the formula: c = sqrt(a^2 + b^2).
c = sqrt(35^2 + 42^2)
c = sqrt(1225 + 1764)
c = sqrt(2989)
c ≈ 54.7m
So, after walking 15m south and then 42m west, the new distance between the phone and its base is approximately 54.7m.
Since the new distance is greater than the maximum range of the cordless telephone's base (50m), the phone will not work in this scenario.