Question

The post office is at the corner of first street and Main Street which forms a right angle first street intersects with oak street to the north and Main Street intersects with oak street to the east the intersection of first street and oak streets forms an x angle and tan x =7/5 car a drives on first street for 10 miles to arrive at oak street how far will car B have to travel on Main Street to get to oak street 7.14 miles 14 miles 20 miles 28.14 miles

Answer 1

Answer:

14 Miles

Step-by-step explanation:

I took the test and got it correct.

Answer 2

Answer:

14 miles.

Step-by-step explanation:

The First street, the Main street, and the Oak street forms a right triangle and the angle between the First street and the Oak street is x such that, tan x = 7/5. {Given}

The distance from the intersection point of the First street and the Main street to Oak street along the First street is 10 miles and we have to calculate the distance (d) of Oak street from the same intersection point along the Main street.

Now, using trigonometry on the above mentioned right triangle

$\tan x = \frac{7}{5} = \frac{d}{10}$

⇒ d = 14 miles. (Answer)