Use an area model to solve. 1 3/4 X 2 1/2

Mathematics

1 answer:

Murrr4er [49]2 years ago

6 0

the answer is 1 2/1

hope this helps!!

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to find the distance between a point x and an inaccessible point z, a line segment xy is constructed. measurements show that xy

marshall27 [118]

Answer:

$\approx \bold{602\ m}$

Step-by-step explanation:

Given the following dimensions:

XY=966 m

$\angle XYZ$ = 38°24', and

$\angle YZX$ = 94°6'

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:

XY=966 m

$\angle XYZ$ = 38°24', and

$\angle YZX$ = 94°6'

in which we have to find the side XZ.

Kindly refer to the image attached.

Let us use the Sine rule here:

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 $\angle C$

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