nysheria0426
Answered

Welcome to Westonci.ca, the place where your questions are answered by a community of knowledgeable contributors. Connect with professionals on our platform to receive accurate answers to your questions quickly and efficiently. Discover in-depth answers to your questions from a wide network of professionals on our user-friendly Q&A platform.

Matthew has been asked to determine the height of a tree. He measured the height from the ground to his eye and found that it was 5 feet. He used a protractor to measure the angle between the horizontal and his line of sight to the top of the tree. He found that angle to measure 70 degrees He also determined his distance from the tree and found that it measured 12 fect. Use the information to determine the height of the tree .

Sagot :

Answer:

Height of the tree is [tex]37.88[/tex] feet

Step-by-step explanation:

The height of the tree is equal to the sum of distance from ground level to eye level and distance between eye level to the top level of the tree.

Height of the tree [tex]= 5 + X[/tex]

[tex]tan \Theta =[/tex] Perpendicular / Base

[tex]tan\Theta = \frac{X}{12} \\X = 12 * tan70\\X= 12 * 2.74\\X = 32.88[/tex]

Total height of tree [tex]= 5 + X = 5 + 32.88 = 37.88[/tex] feet

Thank you for your visit. We are dedicated to helping you find the information you need, whenever you need it. We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. Get the answers you need at Westonci.ca. Stay informed by returning for our latest expert advice.