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
2 answers:
Answer:
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
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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