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yawa3891 [41]
3 years ago
14

Solve for x. Round to the nearest tenth, if necessary.

Mathematics
2 answers:
Igoryamba3 years ago
6 0

Answer: 33.2

Step-by-step explanation:

Given

CE=85

\angle C=67^{\circ}

In \triangle CDE, using trigonometry

\Rightarrow \cos 67^{\circ}=\dfrac{CD}{CE}\\\\\Rightarrow CD=CE\cos 67^{\circ}\\\\\Rightarrow CD=85\times \cos 67^{\circ}\\\\\Rightarrow CD=33.2

inysia [295]3 years ago
3 0

Given:

A figure of a right angle triangle.

To find:

The value of x.

Solution:

In a right angle triangle,

\cos \theta =\dfrac{Base}{Hypotenuse}

In the given figure,

\cos C =\dfrac{CD}{CE}

\cos 67^\circ =\dfrac{x}{85}

0.39073\times 85=x

33.21205=x

Round to the nearest tenth.

x\approx 33.2

Therefore, the measure of x is 33.2 units.

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