Respuesta :

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Step-by-step explanation:

tan B = AC/BC

tan 35°= AC / 160

0.700 = AC /160

=> AC = 160 × 0.700

AC = 112.00

so, the distance from A to C is 112.00 feet

From the triangle given in the figure,

  • ΔACB is a right triangle.
  • Measure of angle ABC = 35°
  • Measure of adjacent side BC = 160 ft

Since, adjacent side BC of the right triangle ACB is given and we have to find the opposite side AC of angle ABC,

Trigonometric ratio to be used → [tex]\text{tan}\theta = \frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]

By substituting these values in the expression,

[tex]\text{tan}(35^{\circ}) = \frac{AC}{160}[/tex]

AC = 160[tan(35)°]

AC = 112.03 feet

               Therefore, distance between A and C is 112.03 feet.

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