A vertical pole, 40 feet tall, casts a shadow onto the ground. If the angle of elevation from the tip of the shadow on the groun
d to the top of the pole is θ=67∘, use the dimensions given to find the length of the shadow, a, in feet. Do not include the units in your answer.
1 answer:
Answer:
Lenght of a shadow is 96.6
Step-by-step explanation:
you may use right angle triangle to find distance if you know angle of elevation.
(a) adjacent (b) hypotenuse
(c) Opposite
we know that:
adjacent (a)=40
opposite (b)=?
tan ∅= opposite/adjacent
tan 67°=opposite/40
2.4142 * 40 = adjacent
adjacent =96.6
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Answer:
y ≥ 8
Explanation:
Note that if f(x) is transformed into f(x + a) - b
The original functions is shifted a units to the left and b units downward.
Horizontal shifting will not affect the range of the function, only vertical shifting will change its range.
From the given, g(x) is the transformation of f(x) with
f(x) is shifted 2 units to the left and 3 units downward, we will disregard the horizontal shifting.
Since f(x) has a range of y ≥ 11, and g(x) is 3 units downward, the range will also move 3 units downward.
y ≥ 11 - 3
The answer is y ≥ 8