Plss help me solve the following scenarios using your...

Please help me solve the following scenarios using your understanding of the angle of elevation and depression. Show your complete solution and illustration. 1. Find the angle of elevation of the sun if a building 78 meters high casts a shadow of 45 meters. 2. From the edge of a cliff, the diagonal distance to the boat is 120 meters. The angle of depression from the edge of the cliff to the boat is 33°. What is the distance between the boat and the base of the cliff? 3. A tower is 110 feet tall. The angle of elevation from the man standing at a distance to the tower is 44°. How far is the man from the tower?

Transcript

00:01 Okay, so in our scenario here, we're dealing with three different problems dealing with angle of elevation and depression.

00:07 So i model each of these scenarios here.

00:09 We want to find the angle of elevation of the sun, given that a building that is 78 meters tall is casting a 45 meter shadow.

00:18 So based on where my theta is, that's the angle of elevation.

00:23 This is opposite side.

00:24 This is adjacent.

00:25 So we're going to set up tangent.

00:27 So the tangent of theta is equal to the opposite, 78, divide.

00:30 By the adjacent 45, meaning my actual angle is going to be the inverse tangent of 78 divided by 45.

00:40 So i put that in my calculator just like that.

00:42 Inverse tangent of 78 divided by 45, and i get 60 point, we'll go two decimal places, zero to degrees.

00:52 For number two, we have the top of the cliff here, and here's my boat down here at the bottom, makes an angle of depression of 33 degrees and a diagonal distance of 120 meters.

01:01 Meters.

01:03 So with angle depression like that, so we want to find the distance between the cliff and the boat, the straight line distance on the ground or water in this case.

01:12 So if the angle of depression is 33, that actually matches the boat's angle of elevation.

01:19 So we can put 33 degrees on the inside here.

01:22 Well, now that's adjacent and that's hypotenuse.

01:24 So i'm going to use cosine...

Question

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