Question

He spots a large oak tree beside the track some distance away, and figures the angle of rotation from the crossing to the tree is about 60 . If their car is 40 meter from the crossing and it takes the train 3 sec to reach the tree, how fast is the train moving ?​

Answer 1

Answer:

7200 second

Step-by-step explanation:

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Answer 2

Note: the given question is incomplete and the completed question is attached in the image below.

Given: time taken by the train $=3sec$

Distance between the car and the crossing$=40m$

angle of rotation $=60$

To find: the speed of the train.

Solution:

Observe the given figure.

Therefore,

$\[\tan {60^ \circ } = \frac{d}{{40}}\]$

$\[ \Rightarrow \sqrt 3 = \frac{d}{{40}}\]$

$\[\begin{array}{l} \Rightarrow d = 40\sqrt 3 \\ \Rightarrow d = 40 \times 1.732\\ \Rightarrow d = 69.28m\end{array}\]$

Find the speed of the train.

$\[s = \frac{d}{t}\]$

$\[ \Rightarrow s = \frac{{69.28}}{3}\]$

$\[\begin{array}{l} \Rightarrow s = 23.09m/s\\ \Rightarrow s = 23.09 \times \frac{{3600}}{{1000}}\end{array}\]$

$\[ \Rightarrow s = 83.124km/hr\]$

Therefore, the speed of the train is $83.124 km/hr$.

Hence, the correct answer is option (b).