Question

20 POINTS TO WHOEVER CAN ANSWER THIS QUESTION! PLZZZ?!

Answer 1

Answer:

a) The distance from Spruce Road to Pine Road along Oak Street is 11 miles,

b) The distance from Spruce Road to Pine Road along Main Street is 22 miles.

Step-by-step explanation:

a) Let x be the  distance from Spruce Road to Pine Road along Oak Street,

By the given diagram,

$tan 60^{\circ}=\frac{11\sqrt{3}}{x}$   ( Since, tan Ф = Perpendicular / Base )

$\sqrt{3}=\frac{11\sqrt{3}}{x}$

$x=\frac{11\sqrt{3}}{\sqrt{3}}=11$

Hence, the distance from Spruce Road to Pine Road along Oak Street is 11 miles

a) Let y be the  distance from Spruce Road to Pine Road along Main Street,

Again, by the given diagram,

$y^2=(11\sqrt{3})^2+(11)^2$  ( By the Pythagoras theorem )

$y^2=363+121=484\implies y = 22$

Hence, the distance from Spruce Road to Pine Road along Main Street is 22 miles.

Answer 2

Hope this would help you