+0  
 
0
324
3
avatar

A tree casts a shadow of 27 meters when the angle of elevation of the sum is 26 degrees. Find the height of the tree to the nearest meter.

Guest Mar 30, 2017
Sort: 

3+0 Answers

 #1
avatar+17693 
+1

The angle, the height of the tree, and the shadow of the tree form a right triangle.

The height of the tree is the side opposite the angle and the shadow is the side adjacent to the angle.

tan  =  opposite / adjacent

tan(26o)  =  height / shadow

tan(26o)  =  height / 27

tan(26o) · 27 = height.

Use a calculator to find the value of tan(26o) · 27 ...

geno3141  Mar 30, 2017
 #2
avatar
+1

A tree casts a shadow of 27 meters when the angle of elevation of the sum is 26 degrees. Find the height of the tree to the nearest meter.

 

Tan(26) = Height / Shadow

Tan(26) =H / 27

0.4877325 =H / 27

H =27 x 0.4877325

H =12.681 or ~13 meters - height of the tree.

Guest Mar 30, 2017
 #3
avatar+8824 
+1

A tree casts a shadow of 27 meters when the angle of elevation of the sum is 26 degrees. Find the height of the tree to the nearest meter.

 

laugh

Omi67  Mar 30, 2017

5 Online Users

avatar
We use cookies to personalise content and ads, to provide social media features and to analyse our traffic. We also share information about your use of our site with our social media, advertising and analytics partners.  See details