A cable runs from the top of a building to a point on the ground 60.3 feet from the base of the building. If the cable makes and angle of 33.7˚ with the ground (see figure), find the following: a. Find the height of the building. Round your answer to the nearest foot. b. Without using your answer from part a, find the length of the cable. Round your answer to the nearest foot.

Question

30-11-2017
Mathematics

contestada

A cable runs from the top of a building to a point on the ground 60.3 feet from the base of the building. If the cable makes and angle of 33.7˚ with the ground (see figure), find the following: a. Find the height of the building. Round your answer to the nearest foot. b. Without using your answer from part a, find the length of the cable. Round your answer to the nearest foot.

Respuesta :

Otras preguntas

A microbe has the ability to inhibit complement activation of inflammation, but it cannot inhibit complement activation of opsonization and cytolysis. Therefore

Creative Sound Systems sold investments, land, and its own common stock for $32.0 million, $15.2 million, and $40.4 million, respectively. Creative Sound System

Your company has a project available with the following cash flows: Year Cash Flow 0 −$80,100 1 22,000 2 26,000 3 31,800 4 26,500 5 20,800 If the required retur

A 0.30-kg puck, initially at rest on a frictionless horizontal surface, is struck by a 0.20-kg puck that is initially moving along the x-axis with a velocity of

A psychologist gets an email referral from a prospective client whose name is Devon. Devon complains of stress, fatigue, and apathy. The psychologist asks if De

On December 31, 2020, Riverbed Co. performed environmental consulting services for Hayduke Co. Hayduke was short of cash, and Riverbed Co. agreed to accept a $

A rectangular wire loop is pulled out of a region of uniform magnetic field B at a constant speed v. What is true about the induced emf in the loop while the lo

A survey on healthy choices was given to gym members at Work It Out. The results showed that 90% of its members drank protein shakes. Of the members who drank

The nursing care plan for a client in traction specifies regular assessments for venous thromboembolism (VTE). When assessing a client's lower limbs, what sign

Suppose the government increases expenditures by $10 billion and the marginal propensity to consume is 0.50. By how much will equilibrium GDP change? The chan

ACCESS MORE EDU ACCESS Universidad de Mexico

nobillionaireNobley nobillionaireNobley · Answer 1 · 2017-12-06T17:56:26+01:00

Part A:

Given that the cable runs from the top of a building to a point on the ground 60.3 feet from the base of the building and that the cable makes and angle of 33.7˚ with the ground.

Let the height of the building be h, then

[tex]\tan33.7^o= \frac{h}{60.3} \\ \\ \Rightarrow h=60.3\tan33.7^o \\ \\ \approx40\, feet.[/tex]

Part B:

Given that the cable runs from the top of a building to a point on the ground 60.3 feet from the base of the building and that the cable makes and angle of 33.7˚ with the ground.

Let the length of the building be l, then

[tex]\cos33.7^o= \frac{60.3}{l} \\ \\ \Rightarrow l=\frac{60.3}{\cos33.7^o} \\ \\ \approx72\, feet.[/tex]