4. When a certain skyscraper is viewed from the top of a building 50 feet tall, the angle of elevation is 59°. When viewed from the street next to the shorter building, the angle of elevation is 62° a. Approximate how far apart are the two structures. Round answer to two decimals b. Approximate the height of the skyscraper. Round to two decimal places.

Q: 8. What is the approximate radian measure of an angle with a degree measure of 59.6°? O 5.96 rad O…

A:

Q: If the angle of elevation of the sun is 74° 30', how tall is a post that casts a shadow 1.6 feet…

A: This question is based on the concept of right angle triangle and trigonometric ratios.

Q: From the top a 18.2 m cliff, the angle of depression of a floating buoy is 26 0 . Determine, correct…

A: Let AB be the cliff and A be the top of the cliff.Height of the cliff=18.2 mLet C be the floating…

Q: Find x correct to 2 decimal places. NOTE: The triangle is NOT drawn to scale. 108 61°. 31°

A: Use the trigonometric ratios and simplify.

Q: From the earth, the moon subtends an angle of approximately 0.5°. If the distance to the moon is…

A: We know the angle subtended by an arc is given by Although the arc is circular, the large amount…

Q: 3. Find the length of the arc of a circle with radius 15 cm that subtends a central angle of 84.. 4.…

A:

Q: 17 Use a half-angle formula to find the exact value of sec 12

A:

Q: 11 6. Find the value of the missing angle. Round to the nearest whole degree.

A:

Q: 12) What angle would the hour hand make with minute nand if it was 3:30 pm?

A:

Q: D. Find the angle between 0° and 360° or between 0 rad to 2n rad that is coterminal to the given…

A: Find your answer below

Q: 15. Find the reference angle of –230°. Justify your answer with a sketch.

A: The given angle is -230 degrees.

Q: If the angle of elevation of the sun is 70° 30', how tall is a post that casts a shadow 1.4 feet…

A:

Q: 5/7.1/// On a circle of radius 8 feet, give the degree measure of the angle that would subtend an…

A: Here we have to find the angle.

Q: In a circle of a radius of 6 m, an arc is subtended by a central angle of 7π6 radians. The exact…

A: Given radius is 6metres. Central angle is 7π/6 = 210° Arc length = 2πr(©/360°)                    =…

Q: 2. Determine the value of & to the nearest degree if cot 0= 2. 51° b. 45° с. 27° d. 63° а.

A: cot θ=2⇒1cot θ=12⇒tan θ=12⇒θ=tan-112=26.57∘ ≈27°

Q: A 50-meter vertical tower is braced with a cable secured at the top of the tower and tied 30 meters…

A: The given information can be diagrammatically represented as shown below:

Q: A ship's sonar finds that the angle of depression to a wreck on the bottom of the ocean is 15.2. If…

A: Given that ship's sonar finds the angle of depression to a wreck on the bottom of the ocean is 15.2…

Q: 2. A surveyor determines that the angle of elevation of the top of a building from a point on the…

A: Explanation and solutions is given below....

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

A:

Q: Find the value of the angle 0 in degrees rounded to the nearest tenth of a degree. 12 ..... 0 = °…

A: The solution is given below:

Q: A blimp, suspended in the air at a height of 400 feet, lies directly over a line from a sports…

A:

Q: 4. A truck driver estimates that a country road rises 40 cm every 6 m along the road. What is the…

A:

Q: The horizontal distance on a survev map from the top edge of a riverbank to the river is 85 feet…

A:

Q: In a circle of radius 3 cm, find the length of the arc that subtends a central angle of 120∘. Enter…

A: Given,          In a circle of radius 3 cm, that subtends a central angle of 120°.We know that,…

Q: 2. Asubmarine dives as shown in the diagram. sea level Begin dive. 125 ft End dive. 500 ft To the…

A:

Q: 8. Use a calculator to find the ratios to two decimal places and angle measures to the nearest whole…

A:

Q: The angle of inclination from the base of skyscraper A to the top of skyscraper B is approximately…

A: We can use trigonometric ratios to answer this question.

Q: 1.] The angle of depression from the top of a 30-meter cliff to a boat is 25°32'. a.] How far is the…

A: First draw the digram then then convert the angle in degree then use trigonometric relation and…

Q: 1. A guy wire from a point 2m from the top of an electric post makes an angle of 70° with the…

A: A guy wire from a point 2 meters from the top of an electric post makes an angle of 70° with the…

Q: 17. When the angle of elevation to the Sun is 69', a tower casts a shadow on the ground that is 64.3…

A: We use Trigonometry ratios

Q: 4. The central angle of circle O has a measure of 4.2 radians and it intercepts an arc whose length…

A: I attached the picture of solution

Q: 28. A circular arc has length 3 cm, and the radius of the circle is 2 cm. What is the measure of the…

A: Arc length =3cm Radius =2cm  Angle?

Q: O A person flying a kite has released 176 m of string. The string makes an angle of 27° with the…

A:

Q: 1) From the top of a coconut tree is 20m tall. A dog is spotted at an angle of depression of 15°.…

A:

Q: In a circle of a radius of 6 m, an arc is subtended by a central angle of 7π/6 radians. The exact…

A:

Q: 5. A farmer has a triangular field. From one corner of the field, it is 435 m to the second corner…

A: we use cosine law

Q: 34) The angle of elevation of the sun is 68° when a tree casts a shadow 14.3 m long. How tall is the…

A:

Q: 6. Find the measure of the indicated angle to the nearest degree. 7 16

A: To find the given angle.

Q: A circular arc has measure 28 cm and is intercepted by a central angle of 2.9 radians. Find the…

A: Given, arc length=l=28 cm andθ=2.9 radians

Q: 11. A wire makes a 70° angle with the ground and is attached to the top of a 50 ft antenna. How long…

A: Given, Angle made with ground (θ)= 70° Height of the antenna =opposite side to the angle= 50 ft…

Q: 11. Find the length of the minor arc in inches, if the central angle is n radians. 8 in. 2/3

A:

Q: 12. A surveyor is standing 25 feet from a building and is looking at the top with an angle of…

A:

Q: 8/12 - A slide 4 m long makes an angle of 27 degrees with the ground. How high is the top of the…

A:

Q: The latitude of any location on Earth is the angle formed by the two rays drawn from the center of…

A: Given that: The latitude of any location on Earth is the angle formed by the two rays drawn from the…

Q: 36. A man standing on top of the tower looks down on a car that is 40 meters away. How high is the…

A:

Q: 12 11) A wire that is 8.5 meters long runs in a straight line from the top of a telephone pole to a…

A: Use trigonometric ratios

Q: 12. 10.5 ft 8.0 ft

A: We can calculate this by finding third side by Pythagoras theorem and then calculate angle in degree…

Q: Solve the following. 1. How many degrees is 1 of a complete revolution? 2. How many radians is of a…

A: A Unit circle is defined as a circle with a radius 1 unit or of unit length.

Q: If the angle of elevation of the sun is 72° 30', how tall is a post that casts a shadow 1.3 feet…

A:

Q: Find the radius r of the circle if an arc of length 40 cm on the circle subtends a central angle of…

A:

Ratios

A ratio is a comparison between two numbers of the same kind. It represents how many times one number contains another. It also represents how small or large one number is compared to the other.

Trigonometric Ratios

Trigonometric ratios give values of trigonometric functions. It always deals with triangles that have one angle measuring 90 degrees. These triangles are right-angled. We take the ratio of sides of these triangles.