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3 years ago

Un bus par de Nantes a 15h50 et arrive a tours a 19h05 après avoir parcouru 221km

Mathematics

1 answer:

Anettt [7]3 years ago

8 0

Answer:

1) 3:15 hours.

2) 68 km per hour.

Step-by-step explanation:

Since a bus from Nantes at 3:50 p.m. and arrives at Tours at 7:05 p.m. after having traveled 221km, to calculate the journey time in hours and minutes and calculate the average speed of this bus, the following calculations must be performed:

1) 7:05 - 3:50 = 3:15

Thus, the duration of the trip was 3 hours and 15 minutes

2) 0:15 = 0.25

221 / 3.25 = X

68 = X

Thus, the average speed of the bus was 68 km per hour.

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Answer:

Step-by-step explanation:

We want a line of best fit, which means we want to create a line that the data points will lie closest to.

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3 years ago

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If the angle of elevation of the sun is 61.7° when a building casts a shadow of 56.5 feet, what is the height of the building ro

maksim [4K]

SOLUTION

Let us use a simple diagram to interprete the question

In the diagram above, the dark stuff below represents the shadow and the rectangular bar represents the building. I have labelled the height of the building as h.

So we will use the right-angled triangle formed to find h

As we can see h represents the opposite side and 56.5 feet represents the adjacent side of the right-angle triangle. So we will use TOA

$\text{TOA tan }\theta=\frac{opposite}{\text{adjacent}}$

So we have

$\begin{gathered} \text{ tan }\theta=\frac{opposite}{\text{adjacent}} \\ \text{ tan }61.7\degree=\frac{h}{56.5} \\ 1.8572015=\frac{h}{56.5} \\ \text{cross multiplying, we have } \\ h=1.8572015\times56.5 \\ h=104.931887 \end{gathered}$

Hence the answer is 104.9 feet to the nearest tenth