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xenn [34]
3 years ago
8

From a window 20m above the ground, a person could see the top of the house across the street at an angle of elevation of 5 degr

ees. The angle of depression to the base of the house was 15 degrees. What is the height of the house?
if u can draw an illustration, thanks

Mathematics
1 answer:
makkiz [27]3 years ago
3 0
The answer is 26.53 m, since you’d have to use trig to find the length of the ground, then calculate the top of the house using tan, then add 20m to the length of the top of the house, which is 6.53 m.

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It takes 45 minutes to drive to the nearest bowling alley taking city streets going 30 miles per hour
zmey [24]

Answer:

The time it will take to get to the bowling alley while driving at 65 mph on the freeway is approximately 20.8 minutes

Step-by-step explanation:

The given parameters are;

The time it takes through the streets to drive to the nearest bowling alley = 45 minutes

The speed of driving through the streets = 30 miles per hour (mph)

The speed of driving through the freeway to the bowling alley = 65 mph

From the speed of driving through the streets and the time taken we have;

The formula for speed, S, is S = Distance/Time

Therefore, 30 mph = Distance/45 minutes

Where, 1 hour = 60 minutes, 45 minutes = 1/60×45 hour = 3/4 hour

30 mph = Distance/45 minutes = Distance/(3/4 hour)

30 mph = Distance/(3/4 hour)

Distance = 30 mph × 3/4 hour = 22.5 miles

Given that the distance through the freeway and through the streets are the same, we have from speed = Distance/Time;

Time = Distance/Speed

The speed through the freeway = 65 mph while the distance remain 22.5 miles

Therefore;

Time = 22.5 miles/(65 mph) ≈ 0.346 hour ≈ 20.8 minutes

The time it will take to get to the bowling alley while driving at 65 mph on the freeway is approximately 20.8 minutes.

8 0
3 years ago
Where are the asymptotes for the following function located? f(x)= 7/ x^2-2x-24
Zarrin [17]
Factor the demoniator:-

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the asymptotes occurs when denominator = 0

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Mice21 [21]
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2 years ago
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Maurinko [17]

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Assuming the numbers are exponents expect the coefficient of 2, top expression, -12x^3y^6, multiply bottom
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2 years ago
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