Find the value of x for the figure below

Mathematics

1 answer:

lana [24]2 years ago

4 0

Answer:

Step-by-step explanation:

because the top and bottom lines are parallel, we can conclude that the 2 triangles (top and bottom) are similar triangles. This means the sides lengths of smaller triangle is proportional to the respective sides on the larger triangle. With this, we can form the following equation:

x/48 = 21/12 (multiply both sides by 48)

x = (21/12)· 48

x = 21 ·4

x = 84

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Answer:

$75.1^{\circ}$

Step-by-step explanation:

In this problem, we have:

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First of all, we notice that we want to find the angle of elevation between the woman's hat the top of the tower; this means that we have consider the difference between the height of the tower and the height of the woman, so

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Now we notice that $d$ and $H'$ are the two sides of a right triangle, in which the angle of elevation is $\theta$ . Therefore, we can write the following relationship: