Ashton5581idn
Answered

Explore a diverse range of topics and get expert answers on IDNLearn.com. Ask your questions and get detailed, reliable answers from our community of knowledgeable experts.

A spotlight is mounted on a wall 7.4 feet above a security desk in an office building. It is used to light an entrance door 9.3 feet from the desk. To the nearest degree, what is the angle of depression from the spotlight to the entrance door?

51 degrees

53 degrees

37 degrees

39degrees

Sagot :

ThatKidxidn

Answer:


I believe its 53 degrees

Step-by-step explanation:

The hight

Semsee45idn

Answer:

Angle of depression = 51° (to nearest degree)

Step-by-step explanation:

Using tan trig ratio (where x is the angle, O is the side opposite the angle and A is the side adjacent to the angle)

[tex]tan(x)=\dfrac{O}{A}=\dfrac{9.3}{7.4}=\dfrac{93}{74}\\\\\implies x=\arctan\left(\dfrac{93}{74}\right)=51.49 \textdegree[/tex]

So angle of depression is 51.49° (to nearest hundredth)

View image Semsee45
Your presence in our community is highly appreciated. Keep sharing your insights and solutions. Together, we can build a rich and valuable knowledge resource for everyone. IDNLearn.com is your source for precise answers. Thank you for visiting, and we look forward to helping you again soon.