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Fofino [41]
2 years ago
15

use the diagram to find the distance across the suspension bridge. Round your answer to the nearest foot

Mathematics
1 answer:
3241004551 [841]2 years ago
7 0

Applying the tangent ratio, the distance across the suspension bridge is: 499.2 ft.

<h3>What is the Tangent Ratio?</h3>

Where we are given a right triangle, the tangent ratio is determined using the formula, tan ∅ = opposite side/adjacent side.

The diagram atatched beow whos the distance across the suspension bridge which consists of 6 identical right triangles.

Find the adjacent side of each right triangle using the tangent ratio:

∅ = 32

Opposite side = 52 ft

Adjacent side = x

Plug in the values into the tangent ratio:

tan 32 = 52/x

x = 52/tan 32

x = 83.2 ft.

Distance across the suspension bridge = 6(83.2) = 499.2 ft.

Therefore, applying the tangent ratio, the distance across the suspension bridge is: 499.2 ft.

Learn more about the tangent ratio on:

brainly.com/question/4326804

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The law of sines for this problem is

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