Answered

Westonci.ca is the premier destination for reliable answers to your questions, brought to you by a community of experts. Get precise and detailed answers to your questions from a knowledgeable community of experts on our Q&A platform. Explore comprehensive solutions to your questions from knowledgeable professionals across various fields on our platform.

Calvin Butterball is lying on the ground and spots a hot air balloon at an angle of elevation of 28 The distance from Calvin to the hot air balloon is 850 feet. How high in the air is the balloon?

Sagot :

mwynn3332

Answer

the distance between the posts is 1 mile

let x be the horizontal distance between the pole 1 and the ballon

Step-by-step explanation:

height of balloon = h

tan 24 = h/x

h = x tan 24

similarly

h= (x+1) tan 20

xtan 24 = (x+1) tan 20

Answer:  approximately 399 feet

The more accurate value is 399.050828368008 feet, but this value is still approximate.

========================================================

Work Shown:

Refer to the diagram below.

To find x, we'll use the sine rule

sin(angle) = opposite/hypotenuse

sin(28) = x/850

850*sin(28) = x

x = 850*sin(28)

x = 399.050828368008 ...... make sure your calc is in degree mode

x = 399

I'm rounding to the nearest whole number since the given values (28 and 850) are also whole numbers. If your teacher provides other rounding instructions, then be sure to follow that.

The hot air balloon is approximately 399 feet off the ground.

View image jimthompson5910
We hope this was helpful. Please come back whenever you need more information or answers to your queries. Thanks for using our platform. We aim to provide accurate and up-to-date answers to all your queries. Come back soon. Your questions are important to us at Westonci.ca. Visit again for expert answers and reliable information.