Answer:
35.35%
Step-by-step explanation:
If there were no deductibles, the expected claim payment would be:
If the collision insurance claim is under $2,000, then the insurer would not pay anything, but if X > $2,000, then the insurer would pay X - $2,000. The new expected value is:
The percentage reduction on the claim payment is:
There was a 35.35% reduction.
Answer:
<em>The height of the tree is 19.81 m</em>
Step-by-step explanation:
<u>Trigonometric Ratios </u>
The ratios between the sides of a right triangle are called trigonometric ratios.
If any of the acute angles is chosen as a reference, it has an adjacent side and an opposite side. The trigonometric ratios are defined upon those sides and the hypotenuse.
The image shows a right triangle with a tree and the ground forming a right angle and an elevation angle of 33°.
This angle of 33° has a side of 30.5 m as its adjacent leg and the height of the tree X as the opposite side.
The trigonometric ratio that relates both legs is the tangent:
Solving for X
Using a calculator:
X = 19.81 m
The height of the tree is 19.81 m