A toy rocket is fired into the air from the top of a barn its height H above the ground in yards after T seconds is given by the
function h of T is equal to -5 t^2 + 10t + 20
1.what is the maximum height of the rocket
2. how long was the rocket in the air before hitting the ground
3.at what time(s) will the rocket be at a height of 22 yards 
1.what is the maximum height of the rocket
2. how long was the rocket in the air before hitting the ground
3.at what time(s) will the rocket be at a height of 22 yards
1 answer:
You might be interested in
We can see that both triangles are right angle triangle as per information given into picture. So we will prove that they are similar then use properties of similar triangle to find the value of d.
In triangle STV and triangle XWV:
∠STV = ∠XWV { both are equal to 90 degree}
∠TVS = ∠WVX { vertically opposite angles are equal}
Hence by AA (Angle Angle) similarity postulate of the triangles, It is proved that triangle STV and triangle XWV are similar.
We know that ratio of corresponding sides of similar triangles are equal so we can write:
350*180=400d
63000=400d
divide both side by 400
157.5=d
Hence final answer is d=157.5 m.