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strojnjashka [21]
3 years ago
12

If anyone is good at right triangle trig word problems please help

Mathematics
2 answers:
yaroslaw [1]3 years ago
6 0

Answer:

  • 91 feet

Step-by-step explanation:

<em>Refer to attached picture</em>

Let the base is b and the height of the hill is x.

<u>For the smaller triangle we have:</u>

  • x/b = tan 39.3°

<u>And for the bigger triangle: </u>

  • (x + 40)/b = tan 49.7°

<u>Solve both equations for b:</u>

  • b = x/ tan 39.3°
  • b = (x + 40)/tan 49.7°

<u>Eliminate b and get the values of tan, solve for x:</u>

  • x/ tan 39.3° = (x + 40) / tan 49.7°
  • x tan 49.7° = (x + 40) tan 39.3°
  • x( 1.179) = x(0.819) + 40(0.819)
  • x(1.179 - 0.819) = 32.76
  • x = 32.76/0.36
  • x = 91 feet (rounded to the nearest foot)

erastovalidia [21]3 years ago
3 0

Answer:

The height of the hill is 131ft

See explanation in the photo

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