Let and
be these consecutive integers. For some base
, we can write
If
then
Now,
Squaring both sides gives
and so
(because the base has to be non-zero)
A kite is flying 70 feet above the ground and is attached to a string tied to a stake on the ground. The angle of elevation form
ed by the string and the ground is 40°. Find the length of the string to the nearest foot.
2 answers:
Answer:
94 feet.
Step-by-step explanation:
The angle of elevation is the angle made by the eye of the observer and the ground level. In this instance, it is the angle formed by the string and the ground which is 40°.
From the attached diagram, the length of the string is x and the height above the ground is 70 feet. These two sides are the hypotenuse and the opposite sides respectively
Using SOH CAH TOA
Sin 40 = 70/x
x = 70/sin 40
x = 93.95 feet.
The length of the string to the nearest foot is 94 feet.
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