A right triangle has an angle that measures 34 and the adjacent side measure 17. what is the lenght of the hypotenuse to the nea
1 answer:
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Answer: 15 feet
Step-by-step explanation:
Hi, since the situation forms a right triangle (see attachment) we have to apply the next trigonometric function.
Tan α = opposite side / adjacent side
Where α is the angle of elevation to the sun, , the opposite side (x) is the height of the tree, and the adjacent side is the length of the shadow.
Replacing with the values given:
Tan 31 = x /25
Tan 31 (25) =x
x = 15 feet
Feel free to ask for more if needed or if you did not understand something.
Answer:
Step-by-step explanation:
To solve this equation, one must apply the following logarithmic property:
if
then
Applying it to the problem at hand:
The solutions to the problem are 4/7 and -4/7.
*Note that this solution was pretty straight forward because log2(16) = 4 is a known value, otherwise, a change of base to a base ten log would be required.