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Dmitry_Shevchenko [17]
3 years ago
13

A park bench sits 778 feet from the base of the Gateway Arch in St. Louis, Missouri. The angle of elevation from the ground wher

e the park bench sits to the top of the Gateway Arch is 39°.
How tall is the Gateway Arch?


605 feet

630 feet

961 feet

490 feet
Mathematics
2 answers:
otez555 [7]3 years ago
8 0

Answer:

  • B. 630 ft

Step-by-step explanation:

<u>Given:</u>

  • Horizontal leg of the right triangle = 778 ft
  • Angle opposite to vertical length = 39°
  • Vertical leg = h

<u>Use tangent to solve for h:</u>

  • h/778 = tan 39°
  • h / 778 = 0.81
  • h = 0.81*778
  • h = 630.18

Correct choice is B

love history [14]3 years ago
6 0

ANSWER:

On using trigonometric function, we get

tanΦ = p/b

tan39° = p/778

p = 778 × 0.81

p = 630ft rounded.

So, <u>Correct choice</u> - [B] 630 feet.

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