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:

Refer to attached picture

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

For the smaller triangle we have:

x/b = tan 39.3°

And for the bigger triangle:

(x + 40)/b = tan 49.7°

Solve both equations for b:

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

Eliminate b and get the values of tan, solve for x:

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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