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3 years ago

Find the value of x ?

Mathematics

2 answers:

enyata [817]3 years ago

4 0

Answer:

Step-by-step explanation:

∠E = ∠G

∠D= ∠F because it’s a parallelogram ==> D=F=2x+12 and E=G=5x

5x+2x+12=180

7x=168

X=24

Solution 2:

2*5x+2*(2x+12)=360

10x+4x+24=360

14x=360-24=336

X=336/14

X=24

Fofino [41]3 years ago

4 0

Answer:

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A/Q

5x+2x+12=180(Sum of adjacent angles is 180)

=>7x+12=180

=>7x=180-12

=>x=168/7

Hence,x=24....

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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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