Mathematics
Grade9
Easy
Question
Find the length of y in this picture.
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAM0AAADyCAMAAADZTrEjAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAL9UExURf////b29oSEhMnJyf7+/nR0dAAAAFFRUfr6+o2NjQMDAxkZGUtLS/n5+aWlpXFxcV1dXUdHR8rKyg0NDVlZWfX19WFhYURERNzc3CEhITAwMPDw8Onp6TMzMxwcHN3d3VpaWvz8/FBQUAkJCcDAwHZ2dqmpqZaWlo+Pj7GxsQUFBWtra83NzQ8PD0pKSvv7+9/f3yAgIDExMejo6O7u7jk5OdbW1l5eXsbGxnd3d5iYmIeHh7a2tgEBAWpqav39/Q4ODk1NTff39+Dg4CcnJy4uLvT09D09PRYWFtXV1VhYWLy8vHt7e6amppSUlImJibS0tAQEBGhoaNDQ0BEREdra2h8fHzY2NvLy8kFBQRcXF1tbWwsLC3l5eaSkpJqamoWFhbOzs2lpac/Pz+Pj4yYmJjQ0NOfn5z4+PhQUFNjY2AYGBrm5uXx8fJmZmUJCQvj4+OLi4ioqKszMzGNjY729vX5+fp+fn52dnXh4eLW1tdLS0u/v7+Tk5CMjI0NDQxMTE9HR0WBgYHp6epubm39/f7q6utTU1OHh4SgoKPPz8z8/P2RkZAICApeXl56enl9fXywsLExMTBISEs7Ozm5ubqOjo8XFxQwMDNnZ2RgYGDw8PCUlJQoKCsvLy7CwsIyMjHNzc7u7ux4eHuzs7CkpKU9PT66urmxsbFZWVlNTUxoaGoGBgYqKipWVlaqqqmVlZSQkJObm5sTExAcHB9vb2x0dHW1tbQgICKysrOrq6jg4OE5OTlRUVG9vb3BwcL+/v97e3jIyMu3t7Tc3N0ZGRqKiouXl5Ts7O7Kysuvr69fX11JSUsHBwZCQkKioqGZmZpOTk4iIiPHx8S8vLxUVFa+vr8fHx5KSktPT06CgoKGhocjIyFdXV3V1dbi4uDo6OoaGhoCAgLe3t0hISCIiIi0tLWJiYr6+visrK0BAQFVVVUVFRRAQEIODg319fZycnElJSaurqxsbG4uLi3JycqenpzU1NcLCwpGRkY6OjsPDw62trWdnZwAAAHAklYcAAAD/dFJOU///////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////AGb8ilkAAAAJcEhZcwAAFxEAABcRAcom8z8AAAewSURBVHhe7Z3NcYMwEIVzUgucGJrQxX1QBxc6ogFaYehBJ5qIYGUsfoQF7K4lRp89MZlkYsPTPj0JQf4SiUQikUgkEolEIsFFX5uNJ9CJzGw9gEqUz9mbSry6x+xNLYa/LjffxE6h9J4MD9FG5mWh9+Yh2mRiNOeHaPMS7fjyjLqpRD+9PkKbVnSw8YS6Gb0ZeIA22pul2Yy/bsCbgfi1GSZvBobsrVKkGG8GYtfm7c1A5J7WvL0ZiFubejU8i9rTLG8GotbG8mYgYk+TtjcDEWuz8GYg3rpZejMQrTYrbwZirZu1NwORalOUK28G4swCMlcrbwbi1KYTjdlaEqWn7XgzEKM2e94MROhp85zGlvi0qQ9OBERXN5vcbBOdNpvcbBNb3QwObwYi08bpzUBcWcDtzUBU2jTzFK2DmDxtPzfbRKSNVPtR0yIeT7Pnm13Eo40rN9tEUzdfvBmIRZtKvMzWEZHUzUFutolDG8c0wIYoskChlF8LikEbmYmv3gzE4GnHudkmAm1eojJbXwnf077lZpvgtfmam21Cr5ujOY0tgWujvdnTzibCrhuf3GwTtjY+udkm6CxwwpuBkLXxy802AXva7rnAY8LVxjc32wTradI3N9sEqw0sCT5JoHUjz3ozEKg2/VlvBsKsm/PeDASpzWdJ8ElCzAI6N19sMAFqUziWNngQoKd5z2lsCU+bzmeK1kFwnnbRm4HQtGkvejMQWN2cmtPYEpY2V3KzTVB1I4/WafgQkjY7S4JPwpMFrCN+cPDveDPAo003Z5WsdHrWLW8GeDytEeaT9sLZmO55M8BUN52YspdUzo9805sBJk8rymkCphOupqC92WzdgcvTqrGJ1cJV52enaB2wZYFcZDodO1qTzFB2hq+/0boMonRYwH1vBviyQCeE6yxZf+L02SF8WUCL42hOnksbPOCbFxi0NrufGsWbATZtWqFeYm/K725utuHyNN1v9lqe7bHT3oxXuVzavISSY+msy/1+brZh8jTTb5qAY4HlzQCTNqaNSQg4H9C8GfjUjaURulxTrhlZZWg8bwZmbbrZWnTMuJ/Nl+Tzpx4Dzsz3JcEnmetGHzUzWGoFwkhjgSzmapHFR/gaJTfbzNrU5ftAdQLRMw9Ays02nyyg++rpj+tKRdZ/H3npXOAxH0/TDWxqavoV0zSdeC0JPsmnv9G99eQDTA0N2ZsBq795TcOPg6E7JtjeDFg5rZlyh/7K0NAQc7ONnQXycQ5iEMp8S4j3kuCT2Dlt7Ki1o9E3NNdlzrextSl0t6kbGrpvbvBfEnySxdhTt7LMOeOFB25utrG1Gbsa50wEHiTeDCzGntqdXTMReNB4M7DQRrcB8lRTUL7Dcuz5Tjd0YM5pbFlqk42jd0qwpmgdLOpGj97p2vQEQW62WWijy4aoIzBQ5GYbu26kIO5szlyucYlFFuhfpPZ8YUnwSRjXpzX096Jeeholl5YEn2TZ3xBCMKexhU2ba0uCT8J1joDamwEmbXqWyQamuqHMzTYs2pDmZhuO/qZQDBMnEwzasHgzwOBpqOcCj6HX5vSldDcg9zTy3GxDrQ2XNwPEdYN+LvAYWm04crMNad0wejNAqk3H580AZRbg9GaAUJurl9LdgK5u6Oc0tpBpg7+0wQOq/obqXOAxRNr43x4IFaK6ITsXeAyNNvzeDJD0Nz/wZoBCm194M0Dgadqbf2BnE/jaSMWzvG0PdE9jz8026NqwzDe7wK6bX3kzgKwNizfXvYsctW5ammVnS4q8VA5Q3/76LSjO0Ii2cICZBfRB4/Dm1nW9GGrdyMz9Npg0pdM18fobyZWbWbRBuMzZjwNt0Pqbb95ct1gRgUGbpjw2xzYbcqTzuEd1g6NN/WWFjsyavxapMyDX5uvt6GVW/BVIhkPtaWtvfl9uU9Tjoxn0W3RDlSG5BLU2q9wsS3g/mY1reDXjAas6rOUPxJ629ubBXDmohzrZCHIQpdVmfQuKqizNgC0nCdSkdbO+XKMu+wzymqTZG0ptNkuCs2z+/0FUe0NWN5vc3Os9UbA3ozbyrvRbCLVZL22oxxPqszZ5Voq8R94hurpZ52aZj0fHzEHJvmubSmHPFZJps8nNvWik1K2vrsYuc6IokUcKVDltk5vH6xI1QuRWCO2QZz6ItNm5raacwowqG+sCYux1gzR1455vNnXTwAqbAXmlDYk2B5fSGU+D+CZL5NNsFDntYE6jNhdX9EJVdZVjr7al0Ma9JLjIlNLDGb3D7aAtoXO+90UI6oZtTmMLvja8y86WHOS0a/0N0WXOfmBrc/gfQ8lB9jTuNXQrkLVhXBK8B6qnXbwdPR6o2rQia9uq0k9P/H/Ti/alXrt/sq3aaTxyikYpVZbjU+mvPg//3/R5WJvLx/jlfAkUda2D8vh8v+49P4/xufjRzef8V5eP6Wk+YiKRSCQSiUQisU/RDcDPJoMwKcwJbIbbajHQCNVPo67fjmyRKJ4hiqGGW1I+hG8Lj+KiFqpqq+Yh+tTgaKp7xP7Ibnh1nRLi9uqScJA9w50PGVncDzt6prvjPwb3/8iJkc892CNGQk8jO45b05Ijy3J49V2Ofov6nyBf5dR7Yq0B/zWyecpwIJFIJBKJRIKTv79/2GmHaQAbZJoAAAAASUVORK5CYII=)
- 45
![5 square root of 2](data:image/png;base64,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)
- 90
- 5
Hint:
tan x = opposite side / adjacent side
The correct answer is: 5
tan x = opposite side / adjacent side
tan 45 = y / 5
tan 45 = 1
y= 1 x 5
The length of the Y = 5
Tan x = sinx / cosx
sin x = opposite side / hypotenuse side
cos x = adjacent side / hypotenuse side