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inysia [295]
3 years ago
7

Given that A, O & B lie on a straight line segment, evaluate x.

Mathematics
2 answers:
Darina [25.2K]3 years ago
7 0

Answer:

X=10

Step-by-step explanation:

TOTAL ANGLE = 180 DEGREE

SO,

3X+94+X+30+2X-4=180

6X + 94+30-4=180

6X+124-4=180

6X +120 = 180

6X=180-120

6X=60

X=60/6

X=10

BY SUBSTITUTING THE VALUE OF X ,YOU WILL GET =

10 X 3 + 94 + 10+30+2X10-4

124+40+16

=180 DEGREES(TOTAL ANGLE)!

Murljashka [212]3 years ago
5 0

Answer:

X = 10

Step-by-step explanation:

3x + 94 + X + 30 + 2x - 4 = 180 (angles on straight line)

6x/6 = 60/6

X = 10

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Consider right triangle with vertices B - base of the hill, S - top of the statue and Y - you. In this triangle angle B is right and angle Y is 13.2°. If h is a height of the statue, then the legs YB and BS have lengths 77 ft and 16+h ft.

You have lengths of two legs and measure of one acute angle, then you can use tangent to find h:

\tan 13.2^{\circ}=\dfrac{\text{opposite leg}}{\text{adjacent leg}} =\dfrac{16+h}{77}, \\ \\ 0.2345=\dfrac{16+h}{77},\\  \\ 16+h=0.2345\cdot 77=18.0565,\\ h=18.0565-16=2.0565 ft.

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