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3 years ago

Answer it and show your work. Which letter choice is it.

Mathematics

1 answer:

ivanzaharov [21]3 years ago

7 0

Answer:

b = 55 degrees

Step-by-step explanation:

The angles 30, a, b and 45 must sum up to 180 degrees

Subtracting (30 + 45) from both sides leaves us with a + b = 105 degrees.

But b = a + 5. Substituting a + 5 in the equation above yields

a + a + 5 = 105 degrees, so that

2a = 100 degrees, and a = 50 degrees. Then b = a + 5, or b = 55 degrees.

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An observer at the top of a 532 foot cliff measures the angle of depression from the top of the cliff to a point on the ground t

Over [174]

Answer:

Distance from the base of the cliff to the point on the ground = 7608 feet

Step-by-step explanation:

Given: Height of the cliff is 532 feet, angle of depression from the top of the cliff to a point on the ground is equal to 4 degrees.

To find: distance from the base of the cliff to the point on the ground

Solution:

In ΔABC,

$\angle ACB=4^{\circ}$ (Alternate interior angles)

For any angle $\theta$ , $\tan \theta =$ side opposite to angle/side adjacent to angle

$\tan C=\frac{AB}{BC}$

Put $AB=532\,,\,\angle C=4^{\circ}$

$\tan 4^{\circ}=\frac{532}{BC}\\\\BC=\frac{532}{\tan 4^{\circ}}\\\\=7607.95\\\\\approx 7608\,\,feet$

Distance from the base of the cliff to the point on the ground = 7608 feet

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3 years ago

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dem82 [27]

Answer:

y = -3x + 2

Explanation:

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Slope = 3

Plug in slope to equation and also choose one of the coordinate points to plug in x and y so you can find b

Plug in all of this to get final y=mx+b form

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3 years ago

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3 years ago

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Answer:

Step-by-step explanation:

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Klio2033 [76]

Answer:

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Step-by-step explanation:

Sorry if I am wrong.

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