At what rate is the area of the triangle changing when the legs are m long?

When the legs are 4 m long, the area of the triangle is changing at a rate of m^2/s.

At what rate is the angle of elevation change?

So the rate of change of the angle of elevation when the balloon is 18 feet high is approximately equal to 0.0485 radians per second.

How do you find Theta?

Just remember the cosine of an angle is the side adjacent to the angle divided by the hypotenuse of the triangle. In the diagram, the adjacent side is a and the hypotenuse is c , so cosθ=ac . To find θ , you use the arccos function, which has the same relationship to cosine as arcsin has to sine.

How do you figure out angles?

Example

Step 1 The two sides we know are Adjacent (6,750) and Hypotenuse (8,100).
Step 2 SOHCAHTOA tells us we must use Cosine.
Step 3 Calculate Adjacent / Hypotenuse = 6,750/8,100 = 0.8333.
Step 4 Find the angle from your calculator using cos-1 of 0.8333:

How do you find the degree of an angle in a triangle?

Now that you are certain all triangles have interior angles adding to 180° , you can quickly calculate the missing measurement. You can do this one of two ways: Subtract the two known angles from 180° . Plug the two angles into the formula and use algebra: a + b + c = 180°

Are two angles with measures that have a sum of 90?

Complementary angles are pair angles with the sum of 90 degrees.

When two lines intersect the four angles they make add to 360 degrees?

Both pairs of vertical angles (four angles altogether) always sum to a full angle (360°). In the figure above, an angle from each pair of vertical angles are adjacent angles and are supplementary (add to 180°).

What do intersecting lines look like?

Properties of intersecting lines Two intersecting lines form a pair of vertical angles. The vertical angles are opposite angles with a common vertex (which is the point of intersection).

Which two lines are equidistant and will never meet?

Parallel Lines. Lines are parallel if they are always the same distance apart (called “equidistant”), and will never meet.