Get the answers you need at Westonci.ca, where our expert community is always ready to help with accurate information. Experience the ease of finding reliable answers to your questions from a vast community of knowledgeable experts. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform.
Sagot :
Let that be theta
- tanØ=Perpendicular/Base
Here perpendicular is lamp post and base is the shadow
- tanØ=10/6
- tanØ=5/3
- tanØ=1.67
- Ø=59°
Answer:
59.0° (nearest tenth)
Step-by-step explanation:
This can be modeled as a right triangle (see attachment).
To find the angle of elevation (marked as [tex]x[/tex] on the attached diagram), use the tan trig ratio:
Tan trigonometric ratio
[tex]\sf\tan(\theta)=\dfrac{O}{A}[/tex]
where:
- [tex]\theta[/tex] is the angle
- O is the side opposite the angle
- A is the side adjacent the angle
Given:
- [tex]\theta = x[/tex]
- O = 10
- A = 6
Substitute the given values into the formula and solve for x:
[tex]\implies \sf\tan(\theta)=\dfrac{10}{6}[/tex]
[tex]\implies \sf\theta=\tan^{-1}\left(\dfrac{10}{6}\right)[/tex]
[tex]\implies \theta = \sf 59.03624...^{\circ}[/tex]
[tex]\implies \theta = \sf 59.0^{\circ}\:(nearest\:tenth)[/tex]
Your visit means a lot to us. Don't hesitate to return for more reliable answers to any questions you may have. We hope our answers were useful. Return anytime for more information and answers to any other questions you have. Thank you for using Westonci.ca. Come back for more in-depth answers to all your queries.