Answer:
<em>15 miles</em> is the correct answer.
Step-by-step explanation:
It is given that Post office is at the intersection point of First Street and Main Street and forms a right angle.
Please refer to the attached image, let us suppose post office is at point P.
Intersection of Oak street and First street is towards North and
Intersection of Oak street and Main street is towards East
PQ represents the Main Street and PR represents the First Street.
![\angle PRQ = x^\circ](https://tex.z-dn.net/?f=%5Cangle%20PRQ%20%3D%20x%5E%5Ccirc)
![tan x^\circ = \dfrac{7}{5}](https://tex.z-dn.net/?f=tan%20x%5E%5Ccirc%20%3D%20%5Cdfrac%7B7%7D%7B5%7D)
It is given that Car A drives 21 miles on main street to reach oak street
![\Rightarrow PQ = 21 miles](https://tex.z-dn.net/?f=%5CRightarrow%20PQ%20%3D%2021%20miles)
<u>To find:</u>
How far will car B have to travel on first street to get to oak street?
i.e. PR = ?
<u>Solution:</u>
By trigonometric rules we know that
![tan \theta = \dfrac{\text{Perpendicular}}{\text{Base}}](https://tex.z-dn.net/?f=tan%20%5Ctheta%20%3D%20%5Cdfrac%7B%5Ctext%7BPerpendicular%7D%7D%7B%5Ctext%7BBase%7D%7D)
Here
, perpendicular is PQ i.e. 21 miles and Base is PR
![tan x^\circ=\dfrac{7}{5} = \dfrac{21}{PR}\\\Rightarrow \dfrac{21}{PR}=\dfrac{7}{5}\\\Rightarrow PR = \dfrac{21 \times 5}{7}\\\Rightarrow PR = 15\ miles](https://tex.z-dn.net/?f=tan%20x%5E%5Ccirc%3D%5Cdfrac%7B7%7D%7B5%7D%20%3D%20%5Cdfrac%7B21%7D%7BPR%7D%5C%5C%5CRightarrow%20%5Cdfrac%7B21%7D%7BPR%7D%3D%5Cdfrac%7B7%7D%7B5%7D%5C%5C%5CRightarrow%20PR%20%3D%20%5Cdfrac%7B21%20%5Ctimes%205%7D%7B7%7D%5C%5C%5CRightarrow%20PR%20%3D%2015%5C%20miles)
Hence, <em>15 miles</em> is the correct answer.
<h3>
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Hello There</u>
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➷ Just find the coordinate where the y value is not 3 times the x value
In this case, it would be (0 , 1)
<h3><u>
✽</u></h3>
➶ Hope This Helps You!
➶ Good Luck (:
➶ Have A Great Day ^-^
↬ ʜᴀɴɴᴀʜ ♡
the answer is C or it got to be D or B
Answer:
2u≤8⇒u≤4
Step-by-step explanation: