geometry
posted by Anonymous
a plane is one mile above sea level when it begins to climb at a constant angle of 3 degrees for the next 60 ground miles. about how far above sea level is the plane after its climb

helper
You need to draw right triangle ABC.
Angle A (vertex angle) = 3 deg
side b (base) = 60 mi
side c = hypotenuse
side a (distance of climb) = unknown
tan A = op/hyp = a/b = a/60
tan 3 = a/60
0.0524 = a/60
60(0.0524) = a
3.144 mi = a
So the plane climbed 3.144 miles
To find how far above sea level after the climb,
1 mile + 3.144 miles = 4.144 miles above sea level
Respond to this Question
Similar Questions

Math
Look at the Description below: Then answer the question. * Salt lake City, Utah is 4330 ft. above sea level. Anderson, South Carolina is 722 ft. above sea level. * Water boils at sea level at 100 degrees Celsius. The boiling point … 
Math
Look at the Description below: Then answer the question. * Salt lake City, Utah is 4330 ft. above sea level. Anderson, South Carolina is 722 ft. above sea level. * Water boils at sea level at 100 degrees Celsius. The boiling point … 
Math
A small plane takes off from an airport and begins to climb at a 10 degree angle of elevation at 5000 ft/minute. After 3 minutes, how far along the ground will the plane have flown? 
Math Ms.Sue please
1. 2/3  5/4 3 3/12 23/12 17/12 2. 6.1 + 1.7 7.8 4.4 7.8 4.4 3. 1.8  3.9 2.1 5.7 2.1 5.7 4. A mountain climber ascends a mountain to its peak. The peak is 12,740 feet above sea level. The climber then descends 200 feet to … 
Geometry
A lighthouse keeper in his observation tower 120 feet above the water sees a pontoon airplane and a small fishing boat. If the plane is directly above the boat, how far above sea level is the plane flying, rounded to the nearest foot? 
Math 2
Simon and his team are preparing to climb my. Sinclair. Base camp is located 21 feet below sea level. Mt. Sinclair is 490 feet above sea level. on the 1st stage of their climb, they will camp at a ranger station located 124 feet above … 
Could you please check my answers.
1)  1.8  3.9 a 2.1 b 5.7 c 2.1 d 5.7* 2) 7 = 5 a 2* b)12 c) 12 d) 2 3) 6.1 + 1.7 a7.8* b 4.4 c 7.8 d 4.4 4) A mountain climber ascends a mountain to it peak. The peak is 12,740 ft above sea level. The climber then … 
Algebra
Mark starts a rock climb when he is 1 mile above sea level. He can climb at the rate of 1.5 miles per hour. Which of the following functions would express Mark's height above sea level over time? 
Algebra
A mountain climber ascends a mountain to its peak. The peak is 12,740 ft above sea level. The climber then descends 200 ft to meet a fellow climber. Find the climber's elevation above sea level after meeting the other climber. 12,540 … 
Angle of depression need help also
A fighter plane is flying horizontally at a constant speed of 600km/hr and the pilot observes an oil drolling platform in the sea at an angle of depression 60degree,after flying in 30sec.in the same direction the pilot notices that …