The answer is a plane
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Answer:
The speed of Dave is 42 miles per hour
The speed of Kent is 46 miles per hour .
Step-by-step explanation:
Given as :
The distance cover by Dave = d = 210 miles
The time taken by Dave = t hour
The speed of Dave = s miph
<u>Again</u>
The distance cover by Kent = D = 230 miles
The time taken by Kent = T hour
The speed of Kent = S = (s + 4 ) miph
<u>For Dave</u>
Time =
So, t =
Or, t =
<u>For Kent</u>
Time =
So, T =
Or, T =
∵ Time taken by both is same
So, t = T
Or, =
Or, 210 × (s + 4) = 230 × s
Or, 210 × s + 210 × 4 = 230 × s
Or, 210 × 4 = 230 × s -210 × s
Or, 210 × 4 = 20 × s
∴ s =
i.e s = 42 miph
So, The speed of Dave = s = 42 miles per hour
Again
The speed of Kent = S = (s + 4 ) miph
i.e S = 42 + 4
or, S = 46 miph
So, The speed of Kent = S = 46 miles per hour
Hence,The speed of Dave is 42 miles per hour
And The speed of Kent is 46 miles per hour . Answer
Answer:
54.8 feet
Step-by-step explanation:
We assume that the distance of interest is the direct line distance from the observation point to the bottom of the monument, segment PH in the diagram below.
This can be found using the Law of Sines.
∠PMH is the complement of the angle of elevation to the top of the monument, so is 40°.
∠MPH is the difference in the angles of elevation, so is 28°.
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The Law of Sines tells us the ratio of side lengths is the same as the ratio of the sines of the opposite angles, so ...
PH/MH = sin(∠PMH)/sin(∠MPH) = sin(40°)/sin(28°)
Multiplying by MH, we can find the length of PH:
PH = (40 ft)(sin(40°)/sin(28°)) ≈ 54.7669 ft
PH ≈ 54.8 ft . . . . the distance Pete must climb to reach the monument.
