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3 years ago

Can someone help me on 8,12 please

Mathematics

1 answer:

Anit [1.1K]3 years ago

5 0

Step-by-step explanation:

$\triangle CHF\sim\triangle YWS\\\\\angle C\cong\angle Y\\\angle H\cong\angle W\\\angle F\cong\angle S\\\\\dfrac{CH}{YW}=\dfrac{HF}{WS}=\dfrac{CF}{YS}$

Although it does not look like the picture.

From the picture ∠F ≅ ∠Y...

We must stick to the correct writing:

Δ → Δ

C → Y

H → W

F → S

12.

ΔMLK and ΔYWZ are not similar because they have different angles (different shape).

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Answer:

$\approx \bold{602\ m}$

Step-by-step explanation:

Given the following dimensions:

XY=966 m

$\angle XYZ$ = 38°24', and

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To find:

Distance between points X and Z.

Solution:

Let us plot the given values.

We can clearly see that it forms a triangle when we join the points X to Y, Y to Z and Z to X.

The $\triangle XYZ$ has following dimensions:

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Kindly refer to the image attached.

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As per Sine Rule:

$\dfrac{a}{sinA} = \dfrac{b}{sinB} = \dfrac{c}{sinC}$

Where

a is the side opposite to $\angle A$

b is the side opposite to $\angle B$

c is the side opposite to $\angle C$

$\dfrac{XZ}{sin\angle Y} = \dfrac{XY}{sin\angle Z}\\\Rightarrow \dfrac{966}{sin94^\circ6'} = \dfrac{XZ}{sin38^\circ24'}\\\Rightarrow XZ=\dfrac{966}{sin94^\circ6'} \times sin38^\circ24'\\\Rightarrow XZ=\dfrac{966}{0.997} \times 0.621\\\Rightarrow XZ=601.69 \m \approx \bold{602\ m}$

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Answer:

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Step-by-step explanation:

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