An object is launched at a velocity of 10 m/s with an angle elevation of 45°. a) Find the initial vertical velocity. (trig)
b) What is the maximum height reached by the object? (Use an equation in Desmos)
c) Find the initial horizontal velocity. (trig)
d) How far does the object go from the launch point? (Use an equation in Desmos)
e) What is the total flight time (between launch and hitting the ground) of the object?

answer:   28.56 feet (approx)

step-by-step explanation:

since, triangle abc has measure of angle c equal to 55 degrees, measure of angle abc equal to 90 degrees, and length of bc equal to 20 feet.

we have to find out the measurement of segment ab.

therefore, tan 55° =

but bc = 20 feet.

⇒ tan 55 ° =  

⇒ ab = 20 × tan 55 °

⇒ ab = 20 × 1.42814800674

⇒ ab = 28.5629601348   ≈ 28.56 feet

the solution is x=1

step-by-step explanation:

we are given our   equation as

let's assume

left side function is

right side function is

now, we can draw graph

and then we can get intersection point

the intersection point will be solution

so, the solution is

x=1

x:       y:  

-1         4

0         4

1         6

2         18

3         20  

the answer is a) a healthy economy because it results from a steady rise in demand.