Peter walks 30 feet away from his house and places a mirror on the ground. he backs 6 feet away from the mirror so that he can see the tip of the roof. peter's eyes are 5 feet above the ground. peter and the house are both perpendicular to the ground. the angles between the top of the house, the mirror, and the ground and between peter's eyes, the mirror, and the ground are congruent as shown in the image below:

Aspacecraft can attain a stable orbit 300 kilometers above earth if it reaches a velocity of 7.7 kilometers per second. the formula for a rocket's maximum velocity v in kilometers per second is vequalsminus0.0098tplusc ln upper r, where t is the firing time in seconds, c is the velocity of the exhaust in kilometers per second, and r is the ratio of the mass of the rocket filled with fuel to the mass of the rocket without fuel. find the velocity of a spacecraft whose booster rocket has a mass ratio of 20, an exhaust velocity of 2.1 km/s, and a firing time of 15 s. can the spacecraft achieve a stable orbit 300 km above earth?