Answer:
7.878 ft far
Step-by-step explanation:
Given:
- A ramp is to be lifted to an angle Q = 10 degrees
- The total length of the ramp L = 8 ft
Find:
- how far does the ramp need to be away to hit the edge of the step
Solution:
- The question asks in "other words" the horizontal distance (d) from the ramp pivot on the floor to the edge of the step when it is lifted 10 degrees.
- We will use trigonometry to solve a right angle triangle: The horizontal distance is a projection of Length L on to the flat ground surface. Hence, we have:
cos(Q) = d / L
d = L*cos(Q)
- Plug in values:
d = 8*cos(10)
Answer: d = 7.878 ft
-29
-5(6) + 1
-30 + 1
-29
hope this helps !
To find a volume of a cylinder we use the following formula:
Plug in the values:
Take the square:
Multiply the numbers:
Answer:
54
Step-by-step explanation:
Answer:
m∠1=80°, m∠2=35°, m∠3=33°
Step-by-step explanation:
we know that
The sum of the interior angles of a triangle must be equal to 180 degrees
step 1
Find the measure of angle 1
In the triangle that contain the interior angle 1
∠1+69°+31°=180°
∠1+100°=180°
∠1=180°-100°=80°
step 2
Find the measure of angle 2
In the small triangle that contain the interior angle 2
∠2+45°+(180°-∠1)=180°
substitute the value of angle 1
∠2+45°+(180°-80°)=180°
∠2+45°+(100°)=180°
∠2+145°=180°
∠2=180°-145°=35°
step 3
Find the measure of angle 3
In the larger triangle that contain the interior angle 3
(∠3+31°)+69°+47°=180°
∠3+147°=180°
∠3=180°-147°=33°