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Akimi4 [234]
3 years ago
15

A lifeguard is 16.2 ft above a pool in her lifeguard station when she spots a swimmer struggling 48.3 ft away from the base of h

er station. What is the angle of depression from the lifeguard station to the swimmer? Round the answer to the nearest hundredth.
Mathematics
1 answer:
Montano1993 [528]3 years ago
4 0
Pretend y is the angle of depression.
Tan y= opposite/ adjacent

Tan y = 16.2/ 48.3
Y= tan-1( 16.2/ 48.3)

Angle = 18.5416
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Step-by-step explanation:

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9 is subtracted from the sum of 5 and a number
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Step-by-step explanation:

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vampirchik [111]

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Step 1:

Start by setting it up with the divisor 25 on the left side and the dividend 35 on the right side like this:

2 5 ⟌ 3 5

Step 2:

The divisor (25) goes into the first digit of the dividend (3), 0 time(s). Therefore, put 0 on top:

0

2 5 ⟌ 3 5

Step 3:

Multiply the divisor by the result in the previous step (25 x 0 = 0) and write that answer below the dividend.

0

2 5 ⟌ 3 5

0

Step 4:

Subtract the result in the previous step from the first digit of the dividend (3 - 0 = 3) and write the answer below.

0

2 5 ⟌ 3 5

- 0

3

Step 5:

Move down the 2nd digit of the dividend (5) like this:

0

2 5 ⟌ 3 5

- 0

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Step 6:

The divisor (25) goes into the bottom number (35), 1 time(s). Therefore, put 1 on top:

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2 5 ⟌ 3 5

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Step 7:

Multiply the divisor by the result in the previous step (25 x 1 = 25) and write that answer at the bottom:

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Step 8:

Subtract the result in the previous step from the number written above it. (35 - 25 = 10) and write the answer at the bottom.

0 1

2 5 ⟌ 3 5

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You are done, because there are no more digits to move down from the dividend.

The answer is the top number and the remainder is the bottom number.

Therefore, the answer to 35 divided by 25 calculated using Long Division is:

1

10 Remainder

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Ignore the decimal places and complete the multiplication as if operating on two integers.

1 4

× 5

+ 7 0

= 7 0Rewrite the product with 1 total decimal places.

Answer = 7.0

Therefore:

1.4 × 5 = 7.0

7 0
3 years ago
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