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3 years ago

X + 10 = 2x PLEASE SHOW EXPLANATION + WORK

Mathematics

1 answer:

enot [183]3 years ago

5 0

Answer:

X=10

Step-by-step explanation:

x+10-10=2x-10

x=2x-10

x-2x=2x-10-2x

-x= -10

-x/-1= -10/-1

x=10

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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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xxTIMURxx [149]

Answer:

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Step-by-step explanation:

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