www.Get800Testr 18 feet 124. * In the figure above a person is standing at point A, and his feet are at a distance of 18 feet from the top of a tree. The angle of elevation, 0, from point A to the top of the tree is 20°. Given that the sine of 70° is approximately 0.94, which of the following is closest to the distance from the person to the base of the tree? A) 14 feet B)15 feet C) 16 feet D) 17 feet 125. Suppose that 0

Trigonometry (MindTap Course List)
8th Edition
ISBN:9781305652224
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Chapter2: Right Triangle Trigonometry
Section2.5: Vectors: A Geometric Approach
Problem 52PS
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Question 124

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18 feet
124. * In the figure above a person is standing at point A, and his feet are at a distance of 18 feet
from the top of a tree. The angle of elevation, 0, from point A to the top of the tree is 20°.
Given that the sine of 70° is approximately 0.94, which of the following is closest to the
distance from the person to the base of the tree?
A) 14 feet
B)15 feet
C) 16 feet
D) 17 feet
125. Suppose that 0 <k < 90, 0 < t < 90, and cos k°
= = z – 42 and t = -z + 12,
sin t°. If k
3
%3D
3
what is the value of z ?
126. A rectangle has a perimeter of 22 meters and an area of 28 square meters. What is the shortest
of the side lengths, in meters, of the rectangle? 4
127. In the (x, y) coordinate plane, what is the radius of the circle having the points (2,-4) and
(-4,4) as endpoints of a diameter?
2i - 3
5i – 1
128. If the expression above is written in the form a + bi, where a and b are real numbers, and
i = v-1, what is the value ofa ?
1-3
-4
%3D
LEVEL 5: HEART OF ALGEBRA
129. Jeff wants to save enough money to purchase and maintain a grand piano. The piano costs
$10,000 and maintenance and tuning costs average $40 per month. Jeff has already saved
$7,000 and he plans to save an additional $420 per month. Which of the following
inequalities can be used to determine the number of months, t, Jeff needs to save in order to
have enough money to buy the piano and pay for 12 months of maintenance and tuning?
A) 10,000 – 40 · 12 < 7,000 – 420t
B) 10,000 + 40 · 12 < 7,000 + 420t
C) 10,000 – 40t <7,000 – 320 · 12
D 10,000 + 40t < 7,000 + 320 · 12
364
Transcribed Image Text:www.Get800Testr 18 feet 124. * In the figure above a person is standing at point A, and his feet are at a distance of 18 feet from the top of a tree. The angle of elevation, 0, from point A to the top of the tree is 20°. Given that the sine of 70° is approximately 0.94, which of the following is closest to the distance from the person to the base of the tree? A) 14 feet B)15 feet C) 16 feet D) 17 feet 125. Suppose that 0 <k < 90, 0 < t < 90, and cos k° = = z – 42 and t = -z + 12, sin t°. If k 3 %3D 3 what is the value of z ? 126. A rectangle has a perimeter of 22 meters and an area of 28 square meters. What is the shortest of the side lengths, in meters, of the rectangle? 4 127. In the (x, y) coordinate plane, what is the radius of the circle having the points (2,-4) and (-4,4) as endpoints of a diameter? 2i - 3 5i – 1 128. If the expression above is written in the form a + bi, where a and b are real numbers, and i = v-1, what is the value ofa ? 1-3 -4 %3D LEVEL 5: HEART OF ALGEBRA 129. Jeff wants to save enough money to purchase and maintain a grand piano. The piano costs $10,000 and maintenance and tuning costs average $40 per month. Jeff has already saved $7,000 and he plans to save an additional $420 per month. Which of the following inequalities can be used to determine the number of months, t, Jeff needs to save in order to have enough money to buy the piano and pay for 12 months of maintenance and tuning? A) 10,000 – 40 · 12 < 7,000 – 420t B) 10,000 + 40 · 12 < 7,000 + 420t C) 10,000 – 40t <7,000 – 320 · 12 D 10,000 + 40t < 7,000 + 320 · 12 364
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