Linear regression

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QUESTION
 
Find the linear speed of a point on the tread of a tire of radius 18 cm, rotating 35 times per min.
11) Assume = 90∘
. Solve right triangle , if = 35.6 ft and = 61.7 ft.
12) Solve the right triangle ABC with = 12.7 , = 34°30′. Assume C is the right angle.
13) Radar stations and are on an east-west line, 5.7 km apart. Station detects a plane at , on a bearing
of 42∘
. Station simultaneously detects the same plane, on a bearing of 312∘
. Find the distance from
to . Answer must include UNITS.
14) A ship leaves port and sails on a bearing of N 47° E for 3.5 hours. It then turns and sails on a bearing
of S 43° E for 4 hours. If the ship’s rate is 22 knots (nautical miles per hour), find the distance that the
ship is from the port. Round to the nearest whole number.
15) The angle of depression from the top of a building to a point on the ground is 67∘
. How far is the point
on the ground from the top of the building if the building is 194 m high? Answer must include UNITS.
16) From a window 62.0 ft above the street, the angle of elevation to the top of the building across the street
is 56.0∘
and the angle of depression to the base of this building is 13.0∘
. Find the height of the building
across the street. Answer must include UNITS.
17) You need to find the height of a building. From a given point on the ground, you find that the angle of
elevation to the top of the building is 74.2∘
. You then walk back 35 ft. From the second point, the angle
of elevation to the top of the building is 51.8∘
. Find the height of the building.
Answer must include UNITS.
18) Graph = 4sin( − ) + 3 over a two-period interval. Label 5 key points in one period based on the
question.
19) Graph = −5cos(4 + 2) over a two-period interval. Label 5 key points in one period based on the
question.
 

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