Answered

At Westonci.ca, we provide clear, reliable answers to all your questions. Join our vibrant community and get the solutions you need. Experience the ease of finding precise answers to your questions from a knowledgeable community of experts. Explore comprehensive solutions to your questions from knowledgeable professionals across various fields on our platform.

The angle of elevation to a nearby tree from a point on the ground is measured to be 20∘
. How tall is the tree if the point on the ground is 92 feet from the tree? Round your answer to the nearest hundredth of a foot if necessary.

Sagot :

mhanifa

Answer:

  • 33.49 feet

Step-by-step explanation:

This is about the right triangle, where 92 feet side is adjacent leg to 20° angle, x - height.

Use trigonometry to find the height

  • x / 92 = tan 20°
  • x = 92 tan 20°
  • x = 33.49 feet (rounded)

[tex]\\ \rm\rightarrowtail cot\theta=\dfrac{B}{P}[/tex]

[tex]\\ \rm\rightarrowtail cot20=\dfrac{92}{P}[/tex]

[tex]\\ \rm\rightarrowtail P=\dfrac{92}{cot20}[/tex]

[tex]\\ \rm\rightarrowtail P=\dfrac{92}{2.7475}[/tex]

[tex]\\ \rm\rightarrowtail P=33.49ft[/tex]

View image Аноним
Visit us again for up-to-date and reliable answers. We're always ready to assist you with your informational needs. We hope this was helpful. Please come back whenever you need more information or answers to your queries. Find reliable answers at Westonci.ca. Visit us again for the latest updates and expert advice.