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Find the value of the length x rounded to 1 decimal place.
The diagram is not drawn accurately

Find the value of the length x rounded to 1 decimal place. The diagram is not drawn-example-1
User Stefan Ticu
by
2.6k points

2 Answers

11 votes
11 votes

Answer:

Give me heart and 5 stars

Explanation:

Find the value of the length x rounded to 1 decimal place. The diagram is not drawn-example-1
User Aidas
by
2.7k points
14 votes
14 votes

Answer:

6.9 m

Explanation:

You want to know the length of segment x in the diagram shown.

Tangent

The tangent function relates the side lengths of a right triangle to the acute angle:

Tan = Opposite/Adjacent

If r represents the length of the bottom part of the right side of the triangle, we have ...

tan(28°) = r/(31 m)

tan(28° +9°) = (r +x)/(31 m)

Solution

Multiplying these equations by 31 m and solving for x gives ...

(31 m)·tan(28°) = r

(31 m)·tan(37°) = r +x

x = (31 m)·tan(37°) -(31 m)·tan(28°) = (31 m)·(tan(37°) -tan(28°))

x ≈ 6.9 m

The length x is about 6.9 meters.

Find the value of the length x rounded to 1 decimal place. The diagram is not drawn-example-1
User DavidX
by
3.1k points