Westonci.ca is the best place to get answers to your questions, provided by a community of experienced and knowledgeable experts. Experience the ease of finding quick and accurate answers to your questions from professionals on our platform. Get precise and detailed answers to your questions from a knowledgeable community of experts on our Q&A platform.
Sagot :
The tangent or tanθ in a right-angle triangle is the ratio of its perpendicular to its base. The length of the tree is 23.66 meters.
What is Tangent (Tanθ)?
The tangent or tanθ in a right-angle triangle is the ratio of its perpendicular to its base. it is given as,
[tex]\rm Tangent(\theta) = \dfrac{Perpendicular}{Base}[/tex]
where,
θ is the angle,
Perpendicular is the side of the triangle opposite to the angle θ,
The base is the adjacent smaller side of the angle θ.
Let the height of the tree be represented by x.
The length of the shadow when the angle of elevation is 45°.
Length of shadow = x/ Tan(45°)
The length of the shadow when the angle of elevation is 60°.
Length of shadow = x/ Tan(60°)
Now, since the difference between shadows is 10 meters. Therefore, we can write,
x/ Tan(45°) - x/ Tan(60°) = 10m
x[1/ Tan(45°) - 1/ Tan(60°) ] = 10 m
x (0.42265) = 10 m
x = 23.66 m
Hence, the length of the tree is 23.66 meters.
Learn more about Tangent (Tanθ):
https://brainly.com/question/10623976
#SPJ1
Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. We appreciate your time. Please come back anytime for the latest information and answers to your questions. Westonci.ca is committed to providing accurate answers. Come back soon for more trustworthy information.
