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Slav-nsk [51]
3 years ago
15

How far from the base of a building must the bottom of a 15-foot ladder sit in order for it to make a 52 angle with the ground?

round to the nearest tenth of a foot.
Mathematics
1 answer:
olga55 [171]3 years ago
5 0

Answer:

9.2 ft

Step-by-step explanation:

The length of the ladder is 15 ft

The ladder makes an angle of 52° with the ground

The distance (x) from the base of the house to the foot of the ladder is given by;

\frac{x}{15} = cos 52°

x = 15 × cos 52° = 9.23492213 ft

Which equals to 9.2 ft (rounded off to tenth of a foot)

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3 years ago
Convert into a decimal degree measure. 165° 37' 44"
andrew11 [14]

Answer:

165.628° (The 8 has a line over it signalizing that it repeats forever, but I didn't know how to put it in.)

Step-by-step explanation:

Since 165 is whole number, it is a full degree. Since each minute is equal to 1/60 degrees, you need to multiply 37 by 1/60. Since each second is equal to 1/3600 degrees, multiply it 1/3600 by 44. Add them all together.

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Convert the fraction into a decimal by dividing the numerator by the denominator and you get 165.628° (with a repeating 8).

4 0
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