Answered

Westonci.ca is your trusted source for accurate answers to all your questions. Join our community and start learning today! Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform. Join our Q&A platform to connect with experts dedicated to providing accurate answers to your questions in various fields.

A tree casts a shadow 31 feet long when the angle of
elevation of the sun is 58º. Find the height of the tree.

A Tree Casts A Shadow 31 Feet Long When The Angle Of Elevation Of The Sun Is 58º Find The Height Of The Tree class=

Sagot :

Answer:

x=24.2198542

ROUND IF NEEDED

Step-by-step explanation:

We are trying to find the height of the tree or the vertical side

We are given

  • The angle of elevation or the angle at the ground ,38
  • The horizontal length, 31.

Since we have a side that is adjacent to that angle and we are trying find backside that us opposite of that angle

we are going to use tangent

[tex] \tan(x) = \frac{opp}{adj} [/tex]

plug 38 in for x or theta, x for opp side and 31 for adjacent side

[tex] \tan(38) = \frac{x}{31} [/tex]

Multiply 31 by both sides to find x

x=24.2198542

ROUND IF NEEDED.

We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. We're glad you visited Westonci.ca. Return anytime for updated answers from our knowledgeable team.