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3 years ago

Central Angles

Mathematics

1 answer:

Kitty [74]3 years ago

8 0

Answer:

here is the answer

Step-by-step explanation:

Central Angle: An angle whose vertex is the center of a circle. The measure of a central angle is equal to the measure of its intercepted arc. ... Inscribed Angle: An angle whose vertex is a point on a circle and whose sides contain chords.

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3 years ago

!50 point question! Find x and explain how you found it!

STatiana [176]

Answer:

$\sf x = 60^{\circ \:}$

given:

adjacent side: 10
hypotenuse side: 20

using cosine rule:

$\hookrightarrow \sf cos(x) = \dfrac{adjacent}{hypotense}$

$\hookrightarrow \sf \sf cos(x) = \dfrac{10}{20}$

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3 years ago

the angle of elevation of the top of a tower from a point 42m away from the base on level ground is 36 find the height of the to

Tcecarenko [31]

Answer:

30.51 meters

Step-by-step explanation:

Given that:

The distance from the point to the base of the tower = 42 m, the angle of elevation = 36°.

According to sine rule if a,b,c are the sides of a triangle and its respective opposite angles are A, B, C. Therefore:

$\frac{a}{sin(A)} =\frac{b}{sin(B)}=\frac{c}{sin(C)}$

Let the height of the tower be a and the angle opposite the height be A = angle of elevation = 36°

Also let the distance from the point to the base of the tower be b = 42 m, and the angle opposite the base of the tower be B

To find B, since the angle between the height of the tower and the base is 90°, we use:

B + 36° + 90° = 180° (sum of angles in a triangle)

B + 126 = 180

B = 180 - 126

B = 54°

Therefore using sine rule:

$\frac{a}{sin(A)} =\frac{b}{sin(B)}\\\\\frac{a}{sin(36)}=\frac{42}{sin(54)}\\\\ a=\frac{42*sin(36)}{sin(54)}\\ \\a=30.51\ meters$

The height of the tower is 30.51 meters

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3 years ago

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bagirrra123 [75]

Answer:

I think it is 55

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4 years ago

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Leya [2.2K]

YES! its like a triangle sir

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4 years ago

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