Question

a meteorologist measures the angle of elevation of weather ballon as 41 a radio signal from the ballons indicates that it is 1503 m from his location. to the nearest meter, how high above the ground is the ballon

Answer 1

Imagine you have a right triangle. Weather balloon meteorologist /_I ground Now they give you the bottom left angle to be 41 degrees and they give you the hypotenuse to be 1503 meters. Now what you're looking for is the length of the leg between the ground and the balloon. For this you need to use a sin function because with the angle you're given, you're looking for the opposite side and are given the hypotenuse. I'm assuming you know what I'm talking about. So your equation looks like this sin(41) = x/1,503 Now just multiply both sides by 1503 1503sin(41) = x Plug this into a calculator to get an answer of approximately 986.057 meters or rounded 986 meters

Answer 2

Answer:

985.968 m high above the ground is the balloon.

Step-by-step explanation:

Given : A meteorologist measures the angle of elevation of weather balloon as 41. A radio signal from the balloons indicates that it is 1503 m from his location.

To find : How high above the ground is the balloon.

Solution :

Angle of inclination is 41

Let $\theta=41^\circ$

A radio signal from the balloons indicates that it is 1503 m from his location.

Hypotenuse h=1503 m

We have to find the height of the balloon let be p

Refer the attached figure for clarification.

We know, $\sin \theta= \frac{p}{h}$

Substitute the value,

$\sin(41)= \frac{p}{1503}$

$p=\sin(41)\times 1503$

$p=0.6560\times 1503$

$p=985.968$

Therefore, 985.968 m high above the ground is the balloon.