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finlep [7]
2 years ago
13

An engineer stands 30 ft. from a building and notes a 55 degree angle of elevation to the top of the building. How high is the b

uilding? Round your answer to 1 decimal place.
Mathematics
1 answer:
alexdok [17]2 years ago
8 0
<h3>Answer:  42.8 feet</h3>

Work Shown:

h = height of the building

h is opposite the reference angle (55)

the adjacent side is 30 feet

tan(angle) = opposite/adjacent

tan(55) = h/30

h = 30*tan(55)

h = 42.84444 which is approximate

h = 42.8 feet

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What’s the volume of a triangular prism?
kati45 [8]

Answer:

V = 0.5 X b X a X h

4 0
3 years ago
A circle has a diameter of 20 inches and a central angle AOB that measures 160°. What is the length of the intercepted arc AB? U
juin [17]
Calculate the circumference of the full circle:

circumference = PI x diameter = 3.14 x 20 = 62.8 inches
 the arc length is 160 degrees of the full circle

divide 160 by 360 (full circle) and multiply by the circumference:

160/360 x 62.8 = 27.9 inches

5 0
3 years ago
A basketball player scored 26 points in one game. In basketball, some baskets are worth 3 points, some are worth 2 points, and f
Vsevolod [243]

Answer:

3 points = 2

2 points = 6

1 point = 8

Step-by-step explanation:

Given that:

Total point scored = 26

Let number of 3 point basket = x

Number of 2 point basket = x + 4

Number of free throws = x + x + 4 = 2x + 4

Hence,

Total 3 points = 3x

Total 2 points 2(x + 4)

Total free throw points = 2x + 4

3x + 2(x + 4) + 2x + 4 = 26

3x + 2x + 8 + 2x + 4 = 26

7x + 12 = 26

7x = 26 - 12

7x = 14

x = 2

Number of 3 points = x = 2

2 points = (x+4) = 2+4 = 6

1 point = (2x+ 4) = 2(2) + 4 = 8

5 0
3 years ago
Read 2 more answers
Shiela either walks or cycles to school the probability that she walks is 0.65 if she walks the probability that she is late is
Serjik [45]

Answer:

0.705

Step-by-step explanation:

Data:

walks=0.65 and is late=0.4;is not late=0.6

cycles=0.35 and is late=0.1;is not late=0.9

The probability of sheila walking and not being late:  

0.65 x 0.6=0.39  

AND probability of being not late and cycling:

0.35 x 0.9=0.315

therefore,the probability of sheila walking or cycling and still not being late:

0.39+0.315=0.705

3 0
3 years ago
Please help me this is due in a few minutes
Vaselesa [24]

Answer:

Volume of one Bugle => 462.8 mm³

Volume of 18 Bugles => 8,330.4 mm³

Volume formula for a cone => ⅓πr²h

Step-by-step explanation:

Volume of one bugle = volume of cone (V) = ⅓πr²h

Where,

r = 5.1 mm

h = 17 mm

Volume of one Bugle = ⅓*π*5.1²*17 = 462.8 mm³

Volume of 18 Bugles = 462.8 × 18 = 8,330.4 mm³

7 0
3 years ago
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