# trig pls.. help me

posted by .

A rocket carrying a weather satellite is launched. As it moves through space, the rocket is tracked by two tracking stations located 24 km. apart, beneath the rocket. The 2 tracking stations both lie west of the launching pad. at a specific moment, the rocket's angle of elevation from Station X is 40 deg. while the rocket's angle of elevation from Station Y is 70 deg. Both tracking stations are west of the rocket at this moment. At this moment, what is the altitude of the rocket, correct to one decimal place?

• trig pls.. help me -

make a sketch, on a straight line mark off points
X, Y, and Z, where Z is then end of the altitude SZ, where S is the satellite.
Angle X = 40°
angle SYZ=70°
XY = 24

in triangle XYS,
angle x=40, angle XYS = 110 , and angle XSY = 30°
by the sine law:
YS/sin40 = 24/sin30
YS = 30.8538

in right-angled triangle SYZ,
RZ/30.8538 = cos 70
RZ = 10.55

the height is appr. 10.6 km

• trig pls.. help me -

thank you so much...

## Similar Questions

1. ### Math

A rocket tracking station has two telescopes A and B placed 1.9 miles apart. The telescopes lock onto a rocket and transmit their anlges of elevation to a computer after a rocket launch. what is the distance to the rocket from telescope …
2. ### Trig

From two different tracking stations, a weather balloon is spotted from two angles of elevation, 57degrees and 83 degrees, respectively. The tracking stations are 15 km apart. Find that altitude of the balloon. Any help given will …
3. ### trig

A rocket tracking station has two telescopes A and B placed 1.9 miles apart. The telescopes lock onto a rocket and transmit their anlges of elevation to a computer after a rocket launch. what is the distance to the rocket
4. ### trig

A rocket tracking station has two telescopes A and B placed 1.9 miles apart. The telescopes lock onto a rocket and transmit their anlges of elevation to a computer after a rocket launch. what is the distance to the rocket
5. ### Grade 11 math

A rocket carrying a weather satellite is launched. As it moves through space, the rocket is tracked by two tracking stations located 24 km. apart, beneath the rocket. The 2 tracking stations both lie west of the launching pad. at a …
6. ### Thinking Mathematically - Geometry

A rocket ascends vertically after being launched from a location that is midway between two ground-based tracking stations. When the rocket reaches an altitude of 4 kilometers, it is 5 kilometers from each of the tracking stations. …
7. ### Thinking Mathematically - Geometry

A rocket ascends vertically after being launched from a location that is midway between two ground-based tracking stations. When the rocket reaches an altitude of 4 kilometers, it is 5 kilometers from each of the tracking stations. …
8. ### Calculus

A rocket fired straight in the air is being tracked by a radar station 3 miles from the launching pad. If the rocket is travelling at 2 miles per second, how fast is the distance between the rocket and the tracking station changing …
9. ### Trigonometry

I am having trouble solving this. A rocket tracking station has two telescopes A and B placed 1.7 miles apart. The telescopes lock onto a rocket and transmit their angles of elevation to a computer after a rocket launch. What is the …
10. ### Trigonometry application

I need help with this problem. am having trouble solving this. A rocket tracking station has two telescopes A and B placed 1.7 miles apart. The telescopes lock onto a rocket and transmit their angles of elevation to a computer after …

More Similar Questions