Sitting in Rutgers stadium Josh notices a blimp straight ahe

Sitting in Rutgers stadium, Josh notices a blimp straight ahead and above him at an angle of elevation of 58o. Three minutes later, he notices the blimp is still straight ahead, but now at an angle of elevation of 48o. If the blimp maintained an altitude of 2000 feet, how far did the blimp travel in those three minutes?

Solution

let initial distance of blimp from josh=x , final distance after moving =y

tan58⁰=2000/x

x=2000/tan58⁰

x=1249.7387

tan48⁰=2000/y

y=2000/tan48⁰

y=1800.808

distance travelled =y-x =1800.808-1249.7387=551.0693

blimp travel 551.1 ft in those three minutes