Mathematics: Use the image for this question. Find both the exact and approximate value of (AC) (rounded to the nearest tenth). Use your approximate answer from part a to find the side length of x. Round your answer for x to the nearest tenth.

The area is about 10 in.Step-by-step explanation:3 x 3 = 9 rounded to 10...

Use the image for this question. Find both the exact

amarshall90

22.01.2022

The value for x is 6 from the given diagram. The given diagram is combination of two right angle triangle.

Step-by-step explanation:

The given is,

Combination of two right angle triangle

Step:1

From the right angle triangle ADC,

Values from the diagram,

∅ = 45°

AD = 7

From the trigonometric ratios,

Cos ∅ = $\frac{adj}{hyp}= \frac{AD}{AC}$

$Cos 45 = \frac{7}{AC}$

$=\frac{7}{cos 45}$ ( ∵ cos 45 = 0.7071 )

$= \frac{7}{0.7071}$

= 9.899

AC ≅ 10

Step:2

From the right angle triangle ABC,

Values from the diagram,

∅ = 55°

AC = 10

From the trigonometric ratios,

Cos ∅ = $\frac{adj}{hyp}= \frac{CB}{AC}$

$Cos 55 = \frac{x}{10}$

= (10)(cos55) ( ∵ cos 55 = 0.57357 )

=(10)(0.5735)

= 5.7357

CB = x ≅ 6

Result:

The value for x is 6 from the given diagram. The given diagram is combination of two right angle triangle.

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