Answer:
Answer in terms of a trigonometric function :
Answer in figures
Step-by-step explanation:
Consider the sketch attached below to better understand the problem.
Let x be the distance between point B and the base of the water tower.
From equation 2,
substituting the value of x into equation 1, we get
cross multiplying,
The height of the tower is in terms of the trig function "Tan"
The equation can simply be evaluated to get the answer in figures since the angles are given in the question
0.004 is one tenth of 0.04 or 0.04 is ten times 0.004
X=20
If they're parallel the other number in the same spot as 5x+15 equals that, so 5x+15=115 because if they are parallel they're the same if same spot and same line going through them.
115-15 = 100
5x=100
Divide by 5 both sides
X=20
If x=20 then these lines would be parallel
Answer:
The answer to your question is Long = 10.39
Step-by-step explanation:
Data
hypotenuse = 12
long = ?
Process
1.- To find Long, we must use the trigonometric functions sine or cosine.
If we use sine, we use the 60° angle
If we use cosine, we use the 30° angle
a) sin 60 = long / hypotenuse
Long = hypotenuse x sin 60
Long = 12 x sin 60
Long = 10.39
b) cos 30 = Long / hypotenuse
Long = hypotenuse x cos 30
Long = 12 x cos 30
Long = 10.39
Answer:
a. 12 feet b. 12 feet 0.5 inches c. 8.33 %
Step-by-step explanation:
a. How far out horizontally on the ground will it protrude from the building?
Since the rise to run ratio is 1:12 and the building is 12 inches off the ground, let x be the horizontal distance the ramp protrudes.
So, by ratios rise/run = 1/12 = 12/x
1/12 = 12/x
x = 12 × 12
x = 144 inches
Since 12 inches = 1 foot, 144 inches = 144 × 1 inch = 144 × 1 foot/12 inches = 12 feet
b. How long should the ramp be?
The length of the ramp, L is gotten from Pythagoras' theorem since the ramp is a right-angled triangle with sides 12 inches and 144 inches respectively.
So, L = √(12² + 144²)
= √[12² + (12² × 12²)]
= 12√(1 + 144)
= 12√145
= 12 × 12.042
= 144.5 inches
Since 12 inches = 1 foot, 144.5 inches = 144 × 1 inch + 0.5 inches = 144 × 1 foot/12 inches + 0.5 inches = 12 feet 0.5 inches
c. What percent grade is the ramp?
The percentage grade of the ramp = rise/run × 100 %
= 12 inches/144 inches × 100 %
= 1/12 × 100 %
= 0.0833 × 100 %
= 8.33 %
