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MAVERICK [17]
3 years ago
10

35% of what number is 91

Mathematics
1 answer:
Aleonysh [2.5K]3 years ago
4 0

Answer:

3185

Step-by-step explanation:

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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
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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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