Question

A meteorologist measures the angle of elevation of a weather balloon is 41 degrees. A radio signal from the balloon indicates that it is 1503 meters from his location. To the nearest meter how high above the ground is the balloon?

Answer 1

Answer: 1. 986 m

2. 769 ft

3. 64

4. 193 m

5. -They are congruent

-They are alternate interior angles

6. m∠E=46°, m∠D=46°

7. m∠E=20°,m∠D=20°

8. 3,282 m

9. 502.4 m

10. 263.3 yd

Explanation: I finished the quiz and got 100%, hope this helped!

Answer 2

You can draw a diagram of the situation, representing it by a right triuangle.

In the right triangle the hypotenuse is the distance indicated by the radio signal, 1503 m, and the angle is 41°.

The opposed leg to 41° is the height of the ballon.

Then you can use the sine trigonometric function.

sine (41°) = opposed leg / hypotenuse = x / 1503 m => x = 1503m * sine(41°)

=> x = 986m.

Answer: 986m