At a certain time of day, the angle of elevation of the sun is 30°. a tree has a shadow that is 25 feet long. find the height of the tree to the nearest foot.

Height of the tree = 14 feet

Step-by-step explanation:

The following illustration will form a right angle triangle. The tree will form the height which is the opposite side. The shadow cast by the tree will form the adjacent side while the angle of elevation is 30° to the hypotenuse.

Using SOHCAHTOA principle

TOA will be used to solve this

since the adjacent side is given which is the length of the shadow and we are looking for the opposite side which is the height of the tree.

shadow length(adjacent) = 25 feet

height of tree(opposite) = y

angle made with the ground = 30°

tan 30° = opposite/adjacent

tan 30° = y/25

cross multiply

25 × tan 30 = y

y =  0.5773502692  × 25

y =  14.43375673  feet

Height of the tree = 14 feet

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d

step-by-step explanation:

hello and welcome!

so, when we see the words "proportional" along with a table, we need to know that we're looking numbers that divide by the same thing.

looking at this table, we simply have to do a trial and error, and divide to see which numbers have the same quotient. if you look at choice a & c, they both have equal quotients for three of the numbers, with one exception, so those can't be the answer. looking at b, there is no similarity, so that can't be it. then, we see d; if you divide all the numbers in the table, you'll see that they all divide by two, which is a proportional relationship, and our answer!

also, always remember that the x will always be the number that goes into y, and somewhere behind this table, is a formula. for this specific table, the formula would be:

since our x-value is being divided by two to get the y-value. and if they were to ask for more numbers in the series, this is the formula you would use to find them.