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DerKrebs [107]
3 years ago
8

Triangle Proportionality- Find the missing side (subtract)

Mathematics
1 answer:
vampirchik [111]3 years ago
5 0

Answer:

10

Step-by-step explanation:

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The angle of elevation from a point on the ground to the top of a pyramid is 31 degrees 10​' The angle of elevation from a point
mart [117]

Answer:

h ≈ 209 ft

Step-by-step explanation:

The illustration forms 2 right angle triangle with same height , which is the height of the pyramid.

The first triangle has an unknown adjacent side and height but the angle is 31° 10'. The larger triangle has adjacent side of 120 ft plus the adjacent side of the smaller triangle.

let

the adjacent side of the smaller triangle = a

recall both triangle have same height = h

Therefore,

tan 31° 10' = opposite/adjacent = h/a

tan 31.167 = h/a

h = a tan 31.167

h = 0.6048345941  a

The larger triangle

adjacent side = 120 + a

height = h

tan 24° 10' = h/120 + a

convert the minutes to degree

tan 24.167° = h/120 + a

cross multiply

120 + a tan 24.167 = h

120 + a (0.44872570999 ) = h

h = 53.8470851998  + 0.44872570999a

Therefore,

0.6048345941  a  = 53.8470851998  + 0.44872570999a

0.6048345941  a  - 0.44872570999a = 53.8470851998

0.1561094942 a = 53.8470851998

divide both sides by 0.1561094942

a = 53.8470851998 / 0.1561094942

a = 344.931520506

a ≈ 345 ft

The height can be computed as

tan 31.167 = h/a

h = 345 × tan 31.167

h = 345 × 0.6048345941

h = 208.667934967

h ≈ 209 ft

6 0
4 years ago
(08.03)Consider the following set of equations:
11Alexandr11 [23.1K]

Equation R: -3y = -3x - 9

Equation S: y = x + 3

Replace y in Equation R with equation S:

-3(x+3) = -3x - 9

Use distributive property:

-3x -9 = -3x -9

Because both sides of the equation are identical x can be any number and they would still be equal.

This means there are Infinite solutions.

4 0
3 years ago
Read 2 more answers
Easy question.
Nimfa-mama [501]

Answer:

Pia

Step-by-step explanation:

The smaller the number of pencils in a bundle the greater the number of  bundles.

For example if the number of pencils each has is 60,

Then the number of bundles for Pia = 60/10 = 6,

and    ...................................................Gauri  = 60/12 = 5,

and   .....................................................Yasmin = 60/20 = 3.

3 0
4 years ago
I need help please?!!!!
eduard

Answer:

I am think so opction (C).....

3 0
3 years ago
Read 2 more answers
Is it correct? or no
balandron [24]

Answer:

jjnjjbjjnnjnnnnnnnnnnnkkkkkjnkn

Step-by-step explanation:

7 0
3 years ago
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