Answer:
<em>The building is 61.5 m tall</em>
Step-by-step explanation:
The image below is a diagram where all the given distances and angles are shown. We have additionally added some variables:
h = height of the building
a, b = internal angles of each triangle
x = base of each triangle
The angles a and b can be easily found by subtracting the given angles from 90° since they are complementary angles, thus:
a = 90° - 37° = 53°
b = 90° - 42° = 48°
Now we apply the tangent ratio on both triangles separately:
From the last equation:
Substituting into the first equation:
Operating on the right side:
Rearranging:
Solving for h:
Calculating:
h = 61.5 m
The building is 61.5 m tall
There are 5,280 feet in a mile. so 52,800 feet is 10 miles.
Answer 5
Step-by-step explanation:
Answer: 48 millas por hora
Step-by-step explanation: 40t + 2= 60t - 3, es t = .25.
la distancia de su casa a su trabajo es 40(0.25 +0.05) =12 millas allí para su velocidad promedio debería ser 12/0.25 = 48 millas por hora
The direct variation equation relates x and y is y = 
x
Step-by-step explanation:
Direct variation is when one variable is equal to a constant times another variable
If y varies directly with x, then
- y ∝ x
- y = k x is the equation of variation
- k is the constant of variation
∵ y varies directly with x
∵ y ∝ x
∴ y = k x
∵ y = 10 when x = 3
- Substitute these values in the equation above to find k
∴ 10 = k(3)
∴ 10 = 3 k
- Divide both sides by 3
∴ k =
∴ The equation of variation is y = x
The direct variation equation relates x and y is y = x
Learn more:
You can learn more about variation in brainly.com/question/10708697
#LearnwithBrainly
