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In order to estimate the height of a building, two students stand at a certain distance from the building at street level. From this point, they find the angle of elevation from the street to the top of the building to be 39°. They then move 300 feet closer to the building and find the angle of elevation to be 50°. Assuming that the street is level, estimate the height of the building to the nearest foot.

In order to estimate the height of a building, two students stand at a certain distance from the building at street level. From this point, they find the angle of elevation from the street to the top of the building to be 39°. They then move 300 feet closer to the building and find the angle of elevation to be 50°. Assuming that the street is level, estimate the height of the building to the nearest foot.

Precalculus

Further Applications of Trigonometry

Non-right Triangles: Law of Sines

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Breanna Ollech verified

Numerade educator

3. A 3.00-kHz tone is being produced by a speaker with a diameter of 0.175 m. The air temperature changes from 0 to 29 8C. Assuming air to be an ideal gas, find the change in the diffraction angle u. (11)

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Breanna Ollech verified

Numerade educator

2. Two waves are traveling in opposite directions on the same string. The displacements caused by the individual waves are given by y1 = (24.0 mm)sin(9.00?t - 1.25?x) and y2 = (35.0 mm)sin(2.88?t + 0.400?x). Note that the phase angles (9.00?t - 1.25?x) and (2.88?t + 0.400?x) are in radians, t is in seconds, and x is in meters. At t = 4.00 s, what is the net displacement (in mm) of the string at (a) x = 2.16 m and (b) x = 2.56 m? Be sure to include the algebraic sign (+ or -) with your answers. (8)

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Nishant Kumar verified

Numerade educator

Humans can detect a difference in sound intensity levels of 1,0 dB.What is the ratio (louder to softer) of the sound intensities.

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Vishal Gupta verified

Numerade educator

3. Humans can detect a difference in sound intensity levels of 1.0 dB. What is the ratio (louder to softer) of the sound intensities? (4) 4. You are flying in an ultra-light aircraft at a speed of 39 m/s. An eagle, whose speed is 18 m/s, is flying directly toward you. Each of the given speeds is relative to the ground. The eagle emits a shrill cry whose frequency is 3400 Hz. The speed of sound is 330 m/s. What frequency do you hear? (3) 5. Describe the properties of a wave (3)

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INSTANT ANSWER

2.2 Refer to the drawing that accompanies Check Your Understanding Question 14 Chapter22. Suppose that the voltage of the battery in the circuit is \( 3.0 \mathrm{~V} \), the magnitude of the magnetic field (directed perpendicularly into the plane of the paper) is \( 0.60 \mathrm{~T} \), and the length of the rod between the rails is \( 0.20 \mathrm{~m} \). Assuming that the rails are very long and have negligible resistance, find the maximum speed attained by the rod after the switch is closed. 2.3 The maximum torque experienced by a coil in a \( 0.75-\mathrm{T} \) magnetic field is \( 8.4310^{24} \mathrm{~N} \) ? \( \mathrm{m} \). The coil is circular and consists of only one tum. The current in the coil is \( 3.7 \mathrm{~A} \). What is the length of the wire from which the coil is made? (4) QUESTION 30

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