The drawing below shows the dimensions of skims kite what is the area of Kim's kite

Mathematics

1 answer:

Leno4ka [110]2 years ago

4 0

Answer:

48 square inches

Step-by-step explanation:

Given

See attachment for kite

Required

The area of the kite

The given kite has a triangular shape.

So, the area is:

$Area = 0.5 * base * height$

From the attachment

$base = 12in$

$height = 8in$

So:

$Area = 0.5 * 12in* 8in$

$Area = 48in^2$

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A surveyer wants to find the distance from points A and B and to an inaccessible point C. These three points form a triangle. Be

Vinil7 [7]

Answer:

42.8°

Step-by-step explanation:

The sine rule states that for a triangle with lengths of a, b and c and the corresponding angles which are opposite the sides as A, B and C, then the following rule holds:

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

Given that points A, B and C forms a triangle with angle A = 65°, distance from A-to-C = 90 m and the distance from B to C = 120 m.

The distance from A to C is the side opposite to angle B. Hence let b = distance from A to C = 90 m.

The distance from B to C is the side opposite to angle A. Hence let a = distance from B to C = 120 m.

Therefore using sine rule:

$\frac{a}{sin(A)}=\frac{b}{sin(B)} \\\\\frac{120}{sin(65)}=\frac{90}{sin(B)} \\\\sin(B)=\frac{90*sin(65)}{120} \\\\sin(B) =0.6797\\\\B=sin^{-1}(0.6797)\\\\B=42.8^o$