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Given ADEF, find DE.
Round your answer to the nearest hundredth.
55
Check

Given ADEF, find DE. Round your answer to the nearest hundredth. 55 Check-example-1
User Marc Smith
by
7.9k points

1 Answer

2 votes

For the given triangle, DE = 6.97 units.

Explanation:

Step 1:

In the given triangle, the angle is 55°. The adjacent side has a length of 4 units and assume the hypotenuse, DE measures x units.

To calculate the value of x, we determine the cos of the triangle where we divide the length of the adjacent side by the length of the hypotenuse.


cos \theta = (adjacentside)/(hypotenuse).

Step 2:

The length of the adjacent side = 4 units.

The length of the hypotenuse = x units.

The angle of the triangle = 55°.


cos \theta = (adjacentside)/(hypotenuse), cos 55 = (4)/(x), cos 55 = 0.5735.


x = (4)/(0.5735) = 6.9747.

So x = DE = 6.9747 units, rounding this off to the nearest hundredth we get DE = 6.97 units.

User Miroshko
by
8.4k points

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