ans the space provided before each number. 1. What trigonometric ratio can we use to solve for the height of a building given the the distance between the observer and the base of the building and its angle of elevation? c. Tangent ratio d. Secant ratio a. Sine ratio b. Cosine ratio 2. Which of the following equations can help us solve the distance of the observer and the flagpole if the angle of elevation is 50° and the height of the flagpole is 12 ft. a. Cos 50° = 12 c. Sin 50° 12 12 b. Tan 50° d. Tan 50° = 12 3. A ladder 8 meters long leans against the wall of a building. If the foot of the ladder makes an angle of 68°with the ground, how far is the base of the ladder from the wall? а. 3 m b. 4 m c. 5 m d. 6 m 4. A flagpole casts a shadow of three meters long when the angle of elevation of the sun is 70°. How high is the flagpole? c. 12.15 meters d. 7.5 meters a. 5.25 meters b. 8.24 meters 5. What is the length of the shadow casts by a monument with the height of 10 ft. when the angle of elevation of the sun is 35°? a. 10.28 ft. b. 14.28 ft. c. 16.35 ft. d. 12.34 f

Q: 2. The cosine of an obtuse angle is -0.78. Calculate the sine of this angle to 4 decimal places. 3.…

A: 2) Given:       Cosine of an obtuse angle              cosθ=-0.78                  θ=cos-1-0.78…

Q: As shown below, an observer (O) is located 500 feet from a school (S). The observer notices a bird…

A: Given: The distance between the observer and a school = 500 feet The angle of elevation = 39°   To…

Q: Directions: Show all of your work, and solve the following problems without the use of a calculator.…

A:

Q: 9a. In a circle with a radius of 16 centimeters, what is the number of radians in the central angle…

A: a)    Working with radians, we have:             θ=sr             where θ is the angle in radians, s…

Q: 8. Jocelyn works in a lighthouse that is 90 m above sea level. She sees a boat at a bearing of 125°…

A:

Q: the distance, in feet, from the base of the conveyor belt to the building

A: Given, A 15-foot conveyor belt for raising and lowering supplies is leaning against a building at a…

Q: 1. A 12-m high post casts a 19-meter shadow. Find the angle of elevation to the sun.

A:

Q: 3. The angle of elevation of a building 80 m high from a man on the ground is 50°42'. How far is the…

A:

Q: #8. A surveyor measures the angles: ZCAB= 29.14°, and ZABC = 140.33° They measure the distance from…

A: A surveyor measures the angles:angle CAB = 29.14°, and angle ABC = 140.33º

Q: 14)Which of the following equations would you use to solve the problem below. You are flying a kite…

A:

Q: Direction: Solve the following problems. • The length of a radlus of a circle is 9 cm. The arc of a…

A:

Q: Solve for the requested value. Sketch the triangle, label the sides, then proceed to find the x as…

A:

Q: Pirates Cove + Shipwreck Island Captain Sparrow leaves Pirates Cove along a bearing of $ 30° E. He…

A: Given that, Velocity of the ship is 30 miles per hour along the bearing of S 30o E. Hence velocity…

Q: A forest ranger stood at a point that formed a 20° angle with the top of a tree and the ground, as…

A:

Q: Find angle –30° in radian measure as a multiple of a. a. 67 b. T/2 2 с. 6 d. 3 3 е. 6

A: The given angle is of measure

Q: 2. A lighthouse along a shoreline is known to be 438 m tall. Gabrielle is on a ship coming in to…

A:

Q: How many radians are there in an angle of - 670°? Draw the angle?

A: Radians in an angle of - 670°  =   ? We know,      180o = π radian

Q: Find exact values of the six trigonometric functions for each angle. Do not use a calcu-lator.…

A: Solution: Consider the given angles are 1020, 120, -1470, and -225 degrees We have  sinn×360°-A =…

Q: Solve the problem. A square playground has a white line drawn through its diagonal. This creates two…

A:

Q: Write an equation linking the height h of the balloon to the angle theta. a. cos theta= 21/h b. cos…

A: